Theory of Bergman spaces in the unit ball of Cn:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Montreuil
Gauthier-Villars
2008 [erschienen] 2009
|
| Schriftenreihe: | Mémoire de la Société Mathématique de France
115 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | 103 S. |
| ISBN: | 9782856292679 |
Internformat
MARC
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| 003 | DE-604 | ||
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| 035 | |a (OCoLC)495313057 | ||
| 035 | |a (DE-599)BVBBV035675242 | ||
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| 100 | 1 | |a Zhao, Ruhan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Theory of Bergman spaces in the unit ball of Cn |c Ruhan Zhao and Kehe Zhu |
| 264 | 1 | |a Montreuil |b Gauthier-Villars |c 2008 [erschienen] 2009 | |
| 300 | |a 103 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mémoire de la Société Mathématique de France |v 115 | |
| 650 | 7 | |a Bergman, Noyaux de |2 ram | |
| 650 | 7 | |a Boule unité |2 ram | |
| 650 | 7 | |a Représentations intégrales |2 ram | |
| 650 | 4 | |a Bergman spaces | |
| 650 | 4 | |a Integral representations | |
| 650 | 4 | |a Unit ball | |
| 650 | 0 | 7 | |a Bergman-Raum |0 (DE-588)4347980-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Bergman-Raum |0 (DE-588)4347980-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Zhu, Kehe |d 1961- |e Verfasser |0 (DE-588)122198298 |4 aut | |
| 810 | 2 | |a Société Mathématique de France |t Mémoire de la Société Mathématique de France |v 115 |w (DE-604)BV000000921 |9 115 | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017729453&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017729453&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-017729453 | |
Datensatz im Suchindex
| _version_ | 1813056766816026624 |
|---|---|
| adam_text |
CONTENTS
1.
Introduction
. 1
2.
Various special cases
. 5
3.
Preliminaries
. 7
4.
Isomorphism of Bergman spaces
. 13
5.
Several characterizations of
Л£
. 17
6.
Holomorphic Lipschitz spaces
. 23
7.
Pointwise estimates
. 31
8.
Duality
. 35
9.
Integral representations
. 39
10.
Atomic decomposition
. 43
11.
Complex interpolation
. 49
12.
Reproducing kernels
. 55
13.
Carleson
type measures
. 63
14.
Coefficient multipliers
. 79
15.
Lacunary series
. 87
16.
Inclusion relations
. 91
17.
Further remarks
. 97
Bibliography
. 99
There has been a great deal of work done in recent years on weighted Bergman
spaces AP on the unit ball Bn of C", where
0 <
ρ
<
oo and
α
> — 1.
We
extend this study in a very natural way to the case where
α
is any real number
and
0 <
ρ
<
oo. This unified treatment covers all classical Bergman spaces,
Besov
spaces, Lipschitz spaces, the Bloch space, the Hardy space H2, and the
so-called Arveson space. Some of our results about integral representations,
complex interpolation, coefficient multipliers, and
Carleson
measures are new
even for the ordinary (unweighted) Bergman spaces of the unit disk.
Ces dernières années il y a eu un grand nombre de travaux sur les espaces
de Bergman pondérés Ava sur la boule unité Bn de Cn, où
0 <
ρ
<
oo et
α
> — 1.
Nous étendons cette étude, de manière très naturelle, au cas où
α
est
un nombre réel quelconque et
0 <
ρ
<
oo. Ce traitement unifié couvre tous
les espaces de Bergman classiques, les espaces de Bésov, de Lipschitz, l'espace
de Bloch, l'espace
Я2
de Hardy, et celui appelé espace d'Arveson. Certains de
nos résultats autour de la représentation entière, de l'interpolation complexe,
des multiplicateurs de coefficients et des mesures de
Carleson,
sont nouveaux,
y compris pour les espaces de Bergman ordinaires (non-pondérés) sur le disque
unité. |
| any_adam_object | 1 |
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| id | DE-604.BV035675242 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-16T08:01:12Z |
| institution | BVB |
| isbn | 9782856292679 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017729453 |
| oclc_num | 495313057 |
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| physical | 103 S. |
| publishDate | 2008 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Gauthier-Villars |
| record_format | marc |
| series2 | Mémoire de la Société Mathématique de France |
| spelling | Zhao, Ruhan Verfasser aut Theory of Bergman spaces in the unit ball of Cn Ruhan Zhao and Kehe Zhu Montreuil Gauthier-Villars 2008 [erschienen] 2009 103 S. txt rdacontent n rdamedia nc rdacarrier Mémoire de la Société Mathématique de France 115 Bergman, Noyaux de ram Boule unité ram Représentations intégrales ram Bergman spaces Integral representations Unit ball Bergman-Raum (DE-588)4347980-7 gnd rswk-swf Bergman-Raum (DE-588)4347980-7 s DE-604 Zhu, Kehe 1961- Verfasser (DE-588)122198298 aut Société Mathématique de France Mémoire de la Société Mathématique de France 115 (DE-604)BV000000921 115 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017729453&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017729453&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Zhao, Ruhan Zhu, Kehe 1961- Theory of Bergman spaces in the unit ball of Cn Bergman, Noyaux de ram Boule unité ram Représentations intégrales ram Bergman spaces Integral representations Unit ball Bergman-Raum (DE-588)4347980-7 gnd |
| subject_GND | (DE-588)4347980-7 |
| title | Theory of Bergman spaces in the unit ball of Cn |
| title_auth | Theory of Bergman spaces in the unit ball of Cn |
| title_exact_search | Theory of Bergman spaces in the unit ball of Cn |
| title_full | Theory of Bergman spaces in the unit ball of Cn Ruhan Zhao and Kehe Zhu |
| title_fullStr | Theory of Bergman spaces in the unit ball of Cn Ruhan Zhao and Kehe Zhu |
| title_full_unstemmed | Theory of Bergman spaces in the unit ball of Cn Ruhan Zhao and Kehe Zhu |
| title_short | Theory of Bergman spaces in the unit ball of Cn |
| title_sort | theory of bergman spaces in the unit ball of cn |
| topic | Bergman, Noyaux de ram Boule unité ram Représentations intégrales ram Bergman spaces Integral representations Unit ball Bergman-Raum (DE-588)4347980-7 gnd |
| topic_facet | Bergman, Noyaux de Boule unité Représentations intégrales Bergman spaces Integral representations Unit ball Bergman-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017729453&sequence=000003&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=017729453&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000921 |
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