Differentiation of integrals in Rn:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1975
|
| Schriftenreihe: | Lecture notes in mathematics
481 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 226 S. graph. Darst. |
| ISBN: | 354007399X 038707399X |
Internformat
MARC
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| 300 | |a XI, 226 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804116469664972800 |
|---|---|
| adam_text | CONTENTS CHAPTER I SOME COVERING THEOREMS PAGE 1. COVERING THEOREMS OF
THE BESICOVITCH TYPE 2 2. COVERING THEOREMS OF THE WHITNEY TYPE 9 3.
COVERING THEOREMS OF THE VITALI TYPE 19 CHAPTER II THE HARDY-LITTLEWOOD
MAXIMAL OPERATOR 1. WEAK TYPE (1,1) OF THE MAXIMAL OPERATOR 36 2.
DIFFERENTIATION BASES AND THE MAXIMAL OPERATOR ASSOCIATED TO THEM .. 42
3. THE MAXIMAL OPERATOR ASSOCIATED TO A PRODUCT OF DIFFERENTIATION BASES
M-M- 4. THE ROTATION METHOD IN THE STUDY OF THE MAXIMAL OPERATOR 51 5. A
CONVERSE INEQUALITY FOR THE MAXIMAL OPERATOR 56 6. THE SPACE L(1 + LOG +
L). INTEGRABILITY PROPERTIES OF THE MAXIMAL OPER- ATOR 60 CHAPTER III
THE MAXIMAL OPERATOR AND THE DIFFERENTIATION PROPERTIES OF A BASIS 1.
DENSITY BASES. THEOREMS OF BUSEMANN-FELLER 66 2. INDIVIDUAL
DIFFERENTIATION PROPERTIES 77 3. DIFFERENTIATION PROPERTIES FOR CLASSES
OF FUNCTIONS 81 CHAPTER IV THE INTERVAL BASIS B 2 1. THE INTERVAL BASIS
B 2 DOES NOT SATISFY THE VITALI PROPERTY 92 PAGE 2. SAKS RARITY
THEOREM. A PROBLEM OF ZYGMUND 96 3. A THEOREM OF BESICOVITCH ON THE
POSSIBLE VALUES OF THE UPPER AND LOWER DERIVATIVES 100 CHAPTER V THE
BASIS OF RECTANGLES B 3 1. THE PERRON TREE. THE KAKEYA PROBLEM 109 2.
THE BASIS B 3 IS NOT A DENSITY BASIS 115 3. THE NIKODYM SET. SOME OPEN
PROBLEMS 120 CHAPTER VI SOME SPECIAL DIFFERENTIATION BASES 1. AN EXAMPLE
OF HAYES. A DENSITY BASIS B IN R 1 AND A FUNCTION G IN EACH L P , 1 P
, SUCH THAT B DOES NOT DIFFERENTIATE JG 134 2. BASES OF CONVEX SETS
137 3. BASES OF UNBOUNDED SETS AND STAR-SHAPED SETS . . 1*4-1 4. A
PROBLEM 147 CHAPTER VII DIFFERENTIATION AND COVERING PROPERTIES 1. THE
THEOREM OF DE POSSEL 148 2. AN INDIVIDUAL COVERING THEOREM 153 3. A
COVERING THEOREM FOR A CLASS OF FUNCTIONS 158 4. A PROBLEM RELATED TO
THE INTERVAL BASIS 165 5. AN EXAMPLE OF HAYES. A BASIS B DIFFERENTIATING
L Q BUT NO L Q1 WITH Q 1 Q 166 CHAPTER VIII ON THE HALO PROBLEM PAGE
1. SOME PROPERTIES OF THE HALO FUNCTION 179 2. A RESULT OF HAYES 180 3.
AN APPLICATION OF THE EXTRAPOLATION METHOD OF YANO 183 4. SOME REMARKS
ON THE HALO PROBLEM 187 APPENDIX I ON THE VITALI COVERING PROPERTIES OF
A DIFFERENTIATION BASIS BY ANTONIO CORDOBA 190 APPENDIX II A GEOMETRIC
PROOF OF THE STRONG MAXIMAL THEOREM BY ANTONIO CORDOBA AND ROBERT
FEFFERMAN 196 APPENDIX III EQUIVALENCE BETWEEN THE REGULARITY PROPERTY
AND THE DIFFERENTIATION OF L 1 FOR A HOMOTHECY INVARIANT BASIS BY
ROBERTO MORIYON 206 APPENDIX IV ON THE DERIVATION PROPERTIES OF A CLASS
OF BASES BY ROBERTO MORIYON 211 BIBLIOGRAPHY 215 A LIST OF SUGGESTED
PROBLEMS 223 INDEX 224
|
| any_adam_object | 1 |
| author | Guzmán, Miguel de 1936-2004 |
| author_GND | (DE-588)172485185 |
| author_facet | Guzmán, Miguel de 1936-2004 |
| author_role | aut |
| author_sort | Guzmán, Miguel de 1936-2004 |
| author_variant | m d g md mdg |
| building | Verbundindex |
| bvnumber | BV002020411 |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)310816541 (DE-599)BVBBV002020411 |
| dewey-full | 515.42 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.42 |
| dewey-search | 515.42 |
| dewey-sort | 3515.42 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002020411 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:39:00Z |
| institution | BVB |
| isbn | 354007399X 038707399X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001319733 |
| oclc_num | 310816541 |
| open_access_boolean | |
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| physical | XI, 226 S. graph. Darst. |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Guzmán, Miguel de 1936-2004 Verfasser (DE-588)172485185 aut Differentiation of integrals in Rn Miguel de Guzmán Berlin [u.a.] Springer 1975 XI, 226 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 481 Integrals, Generalized Measure theory Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Integral (DE-588)4131477-3 gnd rswk-swf Differentiation Mathematik (DE-588)4149787-9 gnd rswk-swf Integral (DE-588)4131477-3 s Differentiation Mathematik (DE-588)4149787-9 s DE-604 Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 Lecture notes in mathematics 481 (DE-604)BV000676446 481 OEBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001319733&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Guzmán, Miguel de 1936-2004 Differentiation of integrals in Rn Lecture notes in mathematics Integrals, Generalized Measure theory Differentialgleichung (DE-588)4012249-9 gnd Integral (DE-588)4131477-3 gnd Differentiation Mathematik (DE-588)4149787-9 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4131477-3 (DE-588)4149787-9 |
| title | Differentiation of integrals in Rn |
| title_auth | Differentiation of integrals in Rn |
| title_exact_search | Differentiation of integrals in Rn |
| title_full | Differentiation of integrals in Rn Miguel de Guzmán |
| title_fullStr | Differentiation of integrals in Rn Miguel de Guzmán |
| title_full_unstemmed | Differentiation of integrals in Rn Miguel de Guzmán |
| title_short | Differentiation of integrals in Rn |
| title_sort | differentiation of integrals in rn |
| topic | Integrals, Generalized Measure theory Differentialgleichung (DE-588)4012249-9 gnd Integral (DE-588)4131477-3 gnd Differentiation Mathematik (DE-588)4149787-9 gnd |
| topic_facet | Integrals, Generalized Measure theory Differentialgleichung Integral Differentiation Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001319733&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT guzmanmiguelde differentiationofintegralsinrn |