New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals:
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
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Warszawa
Polska Akad. Nauk, Inst. Matematyczny
2002
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| Series: | Dissertationes mathematicae
403 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 102 S. |
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| 245 | 1 | 0 | |a New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals |c Yongsheng Han and Dachun Yang |
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Titel: New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogen
Autor: Han, Yong S
Jahr: 2002
CONTENTS
Introduction.
1. Preliminaries.
2. Fractional integrals and derivatives.
3. Explicit representations of inverses.
4. FYame characterizations.
5. Embeddings.
6. Relations with Sobolev spaces on metric spaces
7. Quadratic forms.
References.
5
9
21
44
69
83
97
99
101
2000 Mathematics Subject Classification: Primary; 43A85; Secondary 28A80, 47B06, 35P15,
46E35, 42B35, 47A30, 47A75, 47B38.
Key words and phrases: spaces of homogeneous type, metric spaces, fractals, Besov spaces,
TViebel-Lizorkin spaces, Sobolev spaces, Calderon reproducing formulae, Hardy-Littlewood
maximal functions, Calderon-Zygmund operators, fractional integrals, fractional derivati-
ves, left inverses, right inverses, lifting properties, Poincare inequalities, frames, embeddings,
entropy numbers, atoms, molecules, quadratic forms, eigenvalues.
Acknowledgements. This paper was written when Dachun Yang visited the Friedrich-Schiller
University in Jena, Germany supported by the Alexander von Humboldt Foundation. Dachun
Yang wants to express his sincere thanks to his host professor, Hans Triebel, for his gener-
ously sharing his many ideas with him. Without his numerous motivating discussions, remarks,
encouragement and help, this work could not have been finished. Dachun Yang also thanks the
Alexander von Humboldt Foundation for bringing him this opportunity and the group of analysis
at the Friedrich-Schiller University of Jena for their help. He was also partially supported by the
NNSF and the SEDF of China. Finally, he wishes to thank Professors P. Hajlasz, A. E. Gatto
and Hans G. Feichtinger for some helpful discussions on this subject.
The authors also thank the referee and the editor for their very careful reading and many valuable
remarks which made this article more readable. |
| any_adam_object | 1 |
| author | Han, Yongsheng Yang, Dachun |
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| id | DE-604.BV014571751 |
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| indexdate | 2025-03-31T20:04:02Z |
| institution | BVB |
| language | English |
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| physical | 102 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Polska Akad. Nauk, Inst. Matematyczny |
| record_format | marc |
| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Han, Yongsheng Verfasser aut New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals Yongsheng Han and Dachun Yang Warszawa Polska Akad. Nauk, Inst. Matematyczny 2002 102 S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 403 Besov spaces Metric spaces Sobolev spaces Yang, Dachun Verfasser aut Dissertationes mathematicae 403 (DE-604)BV000003039 403 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009907743&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Han, Yongsheng Yang, Dachun New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals Dissertationes mathematicae Besov spaces Metric spaces Sobolev spaces |
| title | New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals |
| title_auth | New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals |
| title_exact_search | New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals |
| title_full | New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals Yongsheng Han and Dachun Yang |
| title_fullStr | New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals Yongsheng Han and Dachun Yang |
| title_full_unstemmed | New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals Yongsheng Han and Dachun Yang |
| title_short | New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals |
| title_sort | new characterizations and applications of inhomogeneous besov and triebel lizorkin spaces on homogeneous type spaces and fractals |
| topic | Besov spaces Metric spaces Sobolev spaces |
| topic_facet | Besov spaces Metric spaces Sobolev spaces |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009907743&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003039 |
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