Variable lebesgue spaces: foundations and harmonic analysis
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Springer
2013
|
| Schriftenreihe: | Applied and numerical harmonic analysis
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783034805476 9783034805483 |
| DOI: | 10.1007/978-3-0348-0548-3 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV040913564 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 130326s2013 |||| o||u| ||||||eng d | ||
| 015 | |a 13,O03 |2 dnb | ||
| 016 | 7 | |a 1031500707 |2 DE-101 | |
| 020 | |a 9783034805476 |9 978-3-0348-0547-6 | ||
| 020 | |a 9783034805483 |c Online |9 978-3-0348-0548-3 | ||
| 024 | 7 | |a 10.1007/978-3-0348-0548-3 |2 doi | |
| 024 | 3 | |a 9783034805483 | |
| 035 | |a (OCoLC)1074267181 | ||
| 035 | |a (DE-599)DNB1031500707 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-634 |a DE-20 |a DE-703 |a DE-19 |a DE-91 |a DE-739 |a DE-384 |a DE-83 | ||
| 082 | 0 | |a 515.785 | |
| 084 | |a MAT 000 |2 stub | ||
| 084 | |a 510 |2 sdnb | ||
| 100 | 1 | |a Cruz-Uribe, David |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Variable lebesgue spaces |b foundations and harmonic analysis |c David V. Cruz-Uribe ; Alberto Fiorenza |
| 264 | 1 | |a Basel [u.a.] |b Springer |c 2013 | |
| 300 | |a 1 Online-Ressource | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Applied and numerical harmonic analysis | |
| 650 | 0 | 7 | |a Harmonische Analyse |0 (DE-588)4023453-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lebesgue-Integral |0 (DE-588)4034949-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Harmonische Analyse |0 (DE-588)4023453-8 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Lebesgue-Integral |0 (DE-588)4034949-4 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 700 | 1 | |a Fiorenza, Alberto |e Verfasser |4 aut | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-0348-0548-3 |x Verlag |3 Volltext |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025892847&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025892847&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Abstract |
| 912 | |a ZDB-2-SMA | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-025892847 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1007/978-3-0348-0548-3 |l BTU01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-0348-0548-3 |l TUM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-0348-0548-3 |l UBA01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-0348-0548-3 |l UBM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-0348-0548-3 |l UBT01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-0348-0548-3 |l UBW01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-0348-0548-3 |l UPA01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804150205661052928 |
|---|---|
| adam_text | VARIABLE LEBESGUE SPACES
/ CRUZ-URIBE, DAVID V.
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 INTRODUCTION
2 STRUCTURE OF VARIABLE LEBESGUE SPACES
3 THE HARDY-LITTLEWOOD MAXIMAL OPERATOR.-4 BEYOND LOG-HOELDER
CONTINUITY
5 EXTRAPOLATION IN THE VARIABLE LEBESGUE SPACES
6 BASIC PROPERTIES OF VARIABLE SOBOLEV SPACES
APPENDIX: OPEN PROBLEMS
BIBLIOGRAPHY
SYMBOL INDEX
AUTHOR INDEX
SUBJECT INDEX.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
VARIABLE LEBESGUE SPACES
/ CRUZ-URIBE, DAVID V.
: 2013
ABSTRACT / INHALTSTEXT
THIS BOOK PROVIDES AN ACCESSIBLE INTRODUCTION TO THE THEORY OF VARIABLE
LEBESGUE SPACES. THESE SPACES GENERALIZE THE CLASSICAL LEBESGUE SPACES
BY REPLACING THE CONSTANT EXPONENT P WITH A VARIABLE EXPONENT P(X). THEY
WERE INTRODUCED IN THE EARLY 1930S BUT HAVE BECOME THE FOCUS OF RENEWED
INTEREST SINCE THE EARLY 1990S BECAUSE OF THEIR CONNECTION WITH THE
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS WITH
NONSTANDARD GROWTH CONDITIONS, AND FOR THEIR APPLICATIONS TO PROBLEMS IN
PHYSICS AND IMAGE PROCESSING. THE BOOK BEGINS WITH THE DEVELOPMENT OF
THE BASIC FUNCTION SPACE PROPERTIES. IT AVOIDS A MORE ABSTRACT,
FUNCTIONAL ANALYSIS APPROACH, INSTEAD EMPHASIZING AN HANDS-ON APPROACH
THAT MAKES CLEAR THE SIMILARITIES AND DIFFERENCES BETWEEN THE VARIABLE
AND CLASSICAL LEBESGUE SPACES. THE SUBSEQUENT CHAPTERS ARE DEVOTED TO
HARMONIC ANALYSIS ON VARIABLE LEBESGUE SPACES. THE THEORY OF THE
HARDY-LITTLEWOOD MAXIMAL OPERATOR IS COMPLETELY DEVELOPED, AND THE
CONNECTIONS BETWEEN VARIABLE LEBESGUESPACES AND THE WEIGHTED NORM
INEQUALITIES ARE INTRODUCED. THE OTHER IMPORTANT OPERATORS IN HARMONIC
ANALYSIS - SINGULAR INTEGRALS, RIESZ POTENTIALS, AND APPROXIMATE
IDENTITIES - ARE TREATED USING A POWERFUL GENERALIZATION OF THE RUBIO DE
FRANCIA THEORY OF EXTRAPOLATION FROM THE THEORY OF WEIGHTED NORM
INEQUALITIES. THE FINAL CHAPTER APPLIES THE RESULTS FROM PREVIOUS
CHAPTERS TO PROVE BASIC RESULTS ABOUT VARIABLE SOBOLEV SPACES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Cruz-Uribe, David Fiorenza, Alberto |
| author_facet | Cruz-Uribe, David Fiorenza, Alberto |
| author_role | aut aut |
| author_sort | Cruz-Uribe, David |
| author_variant | d c u dcu a f af |
| building | Verbundindex |
| bvnumber | BV040913564 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)1074267181 (DE-599)DNB1031500707 |
| dewey-full | 515.785 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.785 |
| dewey-search | 515.785 |
| dewey-sort | 3515.785 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-0548-3 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02945nmm a2200601zc 4500</leader><controlfield tag="001">BV040913564</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">130326s2013 |||| o||u| ||||||eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">13,O03</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1031500707</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034805476</subfield><subfield code="9">978-3-0348-0547-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034805483</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-0348-0548-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-0348-0548-3</subfield><subfield code="2">doi</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783034805483</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1074267181</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1031500707</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.785</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cruz-Uribe, David</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Variable lebesgue spaces</subfield><subfield code="b">foundations and harmonic analysis</subfield><subfield code="c">David V. Cruz-Uribe ; Alberto Fiorenza</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2013</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Applied and numerical harmonic analysis</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Harmonische Analyse</subfield><subfield code="0">(DE-588)4023453-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lebesgue-Integral</subfield><subfield code="0">(DE-588)4034949-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Harmonische Analyse</subfield><subfield code="0">(DE-588)4023453-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Lebesgue-Integral</subfield><subfield code="0">(DE-588)4034949-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Fiorenza, Alberto</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-0348-0548-3</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025892847&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025892847&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-025892847</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-0348-0548-3</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-0348-0548-3</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-0348-0548-3</subfield><subfield code="l">UBA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-0348-0548-3</subfield><subfield code="l">UBM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-0348-0548-3</subfield><subfield code="l">UBT01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-0348-0548-3</subfield><subfield code="l">UBW01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-0348-0548-3</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV040913564 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:35:14Z |
| institution | BVB |
| isbn | 9783034805476 9783034805483 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025892847 |
| oclc_num | 1074267181 |
| open_access_boolean | |
| owner | DE-634 DE-20 DE-703 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-739 DE-384 DE-83 |
| owner_facet | DE-634 DE-20 DE-703 DE-19 DE-BY-UBM DE-91 DE-BY-TUM DE-739 DE-384 DE-83 |
| physical | 1 Online-Ressource |
| psigel | ZDB-2-SMA |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| series2 | Applied and numerical harmonic analysis |
| spelling | Cruz-Uribe, David Verfasser aut Variable lebesgue spaces foundations and harmonic analysis David V. Cruz-Uribe ; Alberto Fiorenza Basel [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Applied and numerical harmonic analysis Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Lebesgue-Integral (DE-588)4034949-4 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s 1\p DE-604 Lebesgue-Integral (DE-588)4034949-4 s 2\p DE-604 Fiorenza, Alberto Verfasser aut https://doi.org/10.1007/978-3-0348-0548-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025892847&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025892847&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cruz-Uribe, David Fiorenza, Alberto Variable lebesgue spaces foundations and harmonic analysis Harmonische Analyse (DE-588)4023453-8 gnd Lebesgue-Integral (DE-588)4034949-4 gnd |
| subject_GND | (DE-588)4023453-8 (DE-588)4034949-4 |
| title | Variable lebesgue spaces foundations and harmonic analysis |
| title_auth | Variable lebesgue spaces foundations and harmonic analysis |
| title_exact_search | Variable lebesgue spaces foundations and harmonic analysis |
| title_full | Variable lebesgue spaces foundations and harmonic analysis David V. Cruz-Uribe ; Alberto Fiorenza |
| title_fullStr | Variable lebesgue spaces foundations and harmonic analysis David V. Cruz-Uribe ; Alberto Fiorenza |
| title_full_unstemmed | Variable lebesgue spaces foundations and harmonic analysis David V. Cruz-Uribe ; Alberto Fiorenza |
| title_short | Variable lebesgue spaces |
| title_sort | variable lebesgue spaces foundations and harmonic analysis |
| title_sub | foundations and harmonic analysis |
| topic | Harmonische Analyse (DE-588)4023453-8 gnd Lebesgue-Integral (DE-588)4034949-4 gnd |
| topic_facet | Harmonische Analyse Lebesgue-Integral |
| url | https://doi.org/10.1007/978-3-0348-0548-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025892847&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025892847&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT cruzuribedavid variablelebesguespacesfoundationsandharmonicanalysis AT fiorenzaalberto variablelebesguespacesfoundationsandharmonicanalysis |