Verfügbarkeit: Boundedness of weakly singular integral operators on domains

Boundedness of weakly singular integral operators on domains:

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Bibliographische Detailangaben
Beteilige Person:	Vähäkangas, Antti V. (VerfasserIn)
Format:	Hochschulschrift/Dissertation Buch
Sprache:	Englisch
Veröffentlicht:	Helsinki Suomalainen Tiedeakatemia 2009
Schriftenreihe:	Annales Academiae Scientiarum Fennicae Mathematica : Dissertationes ; 153
Schlagwörter:	Singular integrals Singulärer Integraloperator Beschränktheit > Mathematik Hochschulschrift
Links:	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
Umfang:	111 Seiten
ISBN:	9789514110344

Internformat

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Datensatz im Suchindex

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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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genre_facet	Hochschulschrift
id	DE-604.BV035742949
illustrated	Not Illustrated
indexdate	2024-12-20T13:59:09Z
institution	BVB
isbn	9789514110344
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-018603140
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owner	DE-703 DE-83
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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
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

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