Boundedness of weakly singular integral operators on domains:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Helsinki
Suomalainen Tiedeakatemia
2009
|
| Schriftenreihe: | Annales Academiae Scientiarum Fennicae
Mathematica : Dissertationes ; 153 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 111 Seiten |
| ISBN: | 9789514110344 |
Internformat
MARC
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| 100 | 1 | |a Vähäkangas, Antti V. |4 aut | |
| 245 | 1 | 0 | |a Boundedness of weakly singular integral operators on domains |c Antti V. Vähäkangas |
| 264 | 1 | |a Helsinki |b Suomalainen Tiedeakatemia |c 2009 | |
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| 490 | 1 | |a Annales Academiae Scientiarum Fennicae : Mathematica : Dissertationes |v 153 | |
| 502 | |a Zugl.: Helsinki, Univ., Diss., 2009 | ||
| 650 | 4 | |a Singular integrals | |
| 650 | 0 | 7 | |a Singulärer Integraloperator |0 (DE-588)4131249-1 |2 gnd |9 rswk-swf |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-018603140 | ||
Datensatz im Suchindex
| _version_ | 1804140656120037376 |
|---|---|
| adam_text | Contents
1.
Introduction
................................................................. 5
2.
WSIO s of convolution type
................................................ 13
-IO
2.1.
Homogeneous
Besov
spaces
.............................................
là
2.2.
Boundedness of convolution operators
.................................. 1
2.3.
Unbounded operators
.................................................. 23
3.
WSIO s with global kernels
.................................................
27
3.1.
Reduced Tl theorem in W1
.............................................
27
3.2.
BMO-type spaces on domains
.......................................... 40
3.3. Endpoint
estimates for restricted operators
............................. 45
3.4.
Τχη
theorem for restricted operators
................................... 51
4.
Regularity of standard kernels
.............................................. 62
4.1.
Kernel spaces
.......................................................... 6^
4.2.
Dyadic resolution of unity
.............................................. 64
4.3.
Regularity of kernels in uniform domains
............................... 71
5.
Extension of smooth kernels
................................................ 79
5.1.
Holder spaces
.......................................................... 9
5.2.
Uniformity and products
............................................... 86
5.3.
Atomic decomposition and kernel extension
............................. 89
6.
WSIO s on domains
........................................................ 96
6.1.
Admissible domains
.................................................... 96
6.2.
Τχςι
theorem revisited
.................................................. 98
6.3.
Tl theorem on admissible domains
..................................... 99
Appendix A. Notation
....................................................... 102
Appendix B. Compactly supported wavelets
..................................
Ю5
Appendix
С
Whitney decomposition
.........................................
Ю7
References
.............................. ............................ 109
|
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| id | DE-604.BV035742949 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:03:26Z |
| institution | BVB |
| isbn | 9789514110344 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018603140 |
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| physical | 111 Seiten |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Suomalainen Tiedeakatemia |
| record_format | marc |
| series | Annales Academiae Scientiarum Fennicae |
| series2 | Annales Academiae Scientiarum Fennicae : Mathematica : Dissertationes |
| spelling | Vähäkangas, Antti V. aut Boundedness of weakly singular integral operators on domains Antti V. Vähäkangas Helsinki Suomalainen Tiedeakatemia 2009 111 Seiten txt rdacontent n rdamedia nc rdacarrier Annales Academiae Scientiarum Fennicae : Mathematica : Dissertationes 153 Zugl.: Helsinki, Univ., Diss., 2009 Singular integrals Singulärer Integraloperator (DE-588)4131249-1 gnd rswk-swf Beschränktheit Mathematik (DE-588)4289271-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Singulärer Integraloperator (DE-588)4131249-1 s Beschränktheit Mathematik (DE-588)4289271-5 s DE-604 Annales Academiae Scientiarum Fennicae Mathematica : Dissertationes ; 153 (DE-604)BV021750467 153 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018603140&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vähäkangas, Antti V. Boundedness of weakly singular integral operators on domains Annales Academiae Scientiarum Fennicae Singular integrals Singulärer Integraloperator (DE-588)4131249-1 gnd Beschränktheit Mathematik (DE-588)4289271-5 gnd |
| subject_GND | (DE-588)4131249-1 (DE-588)4289271-5 (DE-588)4113937-9 |
| title | Boundedness of weakly singular integral operators on domains |
| title_auth | Boundedness of weakly singular integral operators on domains |
| title_exact_search | Boundedness of weakly singular integral operators on domains |
| title_full | Boundedness of weakly singular integral operators on domains Antti V. Vähäkangas |
| title_fullStr | Boundedness of weakly singular integral operators on domains Antti V. Vähäkangas |
| title_full_unstemmed | Boundedness of weakly singular integral operators on domains Antti V. Vähäkangas |
| title_short | Boundedness of weakly singular integral operators on domains |
| title_sort | boundedness of weakly singular integral operators on domains |
| topic | Singular integrals Singulärer Integraloperator (DE-588)4131249-1 gnd Beschränktheit Mathematik (DE-588)4289271-5 gnd |
| topic_facet | Singular integrals Singulärer Integraloperator Beschränktheit Mathematik Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018603140&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021750467 |
| work_keys_str_mv | AT vahakangasanttiv boundednessofweaklysingularintegraloperatorsondomains |