Carleson embedding theorem on convex finite type domains

被引：4

作者：

Jasiczak, M. ^{[1
,2
]}

机构：

[1] UAM, Fac Math & Comp Sci, PL-61614 Poznan, Poland

[2] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 362卷 / 01期

关键词：

Finite type domains; Hardy spaces; Carleson measures; HARDY-SPACES; INTEGRAL-OPERATORS; HOMOGENEOUS TYPE; BOUNDEDNESS; COMPACTNESS;

D O I：

10.1016/j.jmaa.2009.09.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns certain geometric aspects of function theory on smoothly bounded convex domains of finite type in C-n. Specifically, we prove the Carleson-Hormander inequality for this class of domains and provide examples of Carleson measures improving a known result concerning such measures associated to bounded holomorphic functions. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：167 / 189

页数：23

共 50 条

[21] Hölder estimates on convex domains of finite type
Klas Diederich
Bert Fischer
John Erik Fornæss
Mathematische Zeitschrift, 1999, 232 : 43 - 61
[22] Holder estimates on lineally convex domains of finite type
Diederich, Klas
Fischer, Bert
MICHIGAN MATHEMATICAL JOURNAL, 2006, 54 (02) : 341 - 352
[23] Zero sets of functions in convex domains of finite type
Alexandre, William
MATHEMATISCHE ZEITSCHRIFT, 2017, 287 (1-2) : 85 - 115
[24] Sharp Holder estimates on convex domains of finite type
Cumenge, A
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 325 (10): : 1077 - 1080
[25] $L^p$ estimates on convex domains of finite type
Bert Fischer
Mathematische Zeitschrift, 2001, 236 : 401 - 418
[26] Dyadic decomposition of convex domains of finite type and applications
Gan, Chun
Hu, Bingyang
Khan, Ilyas
MATHEMATISCHE ZEITSCHRIFT, 2022, 301 (02) : 1939 - 1962
[27] Nonisotropic Holder estimates on convex domains of finite type
Fischer, B
MICHIGAN MATHEMATICAL JOURNAL, 2004, 52 (01) : 219 - 239
[28] Dyadic decomposition of convex domains of finite type and applications
Chun Gan
Bingyang Hu
Ilyas Khan
Mathematische Zeitschrift, 2022, 301 : 1939 - 1962
[29] A study of the matrix Carleson Embedding Theorem with applications to sparse operators
Bickel, Kelly
Wick, Brett D.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 435 (01) : 229 - 243
[30] Two More Counterexamples to the Infinite Dimensional Carleson Embedding Theorem
Rydhe, Eskil
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2018, 2018 (24) : 7655 - 7680

← 1 2 3 4 5 →