ON SOME NEW SHARP ESTIMATES IN ANALYTIC HERZ-TYPE FUNCTION SPACES IN TUBULAR DOMAINS OVER SYMMETRIC CONES

被引：3

作者：

Shamoyan, Romi F. ^{[1
]}

Mihic, Olivera ^{[2
]}

机构：

[1] Bryansk State Tech Univ, Dept Math, Bryansk 241050, Russia

[2] Univ Belgrade, Fac Org Sci, Jove Ilica 154, Belgrade 11000, Serbia

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2018年 / 68卷 / 04期

关键词：

analytic function; tubular domain; embedding theorem; CARLESON MEASURE THEOREM; BERGMAN SPACES; TUBE DOMAINS; BESOV-SPACES; OPERATORS;

D O I：

10.21136/CMJ.2018.0059-17

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain new sharp embedding theorems for mixed-norm Herz-type analytic spaces in tubular domains over symmetric cones. These results enlarge the list of recent sharp theorems in analytic spaces obtained by Nana and Sehba (2015).

引用

页码：1033 / 1050

页数：18

共 25 条

[1] Toeplitz operators and Carleson measures in strongly pseudoconvex domains [J].

Abate, Marco ;

Raissy, Jasmin ;

Saracco, Alberto .

JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 263 (11) :3449-3491

[2] Carleson measures and uniformly discrete sequences in strongly pseudoconvex domains [J].

Abate, Marco ;

Saracco, Alberto .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2011, 83 :587-605

[3]

[Anonymous], 2005, GRADUATE TEXTS MATH

[4] Littlewood-Paley decompositions related to symmetric cones and Bergman projections in tube domains [J].

Békollé, D ;

Bonami, A ;

Garrigós, G ;

Ricci, F .

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2004, 89 :317-360

[5] Analytic Besov spaces and Hardy-type inequalities in tube domains over symmetric cones [J].

Bekolle, D. ;

Bonami, A. ;

Garrigos, G. ;

Ricci, F. ;

Sehba, B. .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2010, 647 :25-56

[6]

Bekolle D., 2004, IMHOTEP J AFR MATH P, V5, P75

[7] The Duren-Carleson Theorem in Tube Domains over Symmetric Cones [J].

Bekolle, David ;

Sehba, Benoit F. ;

Tchoundja, Edgar L. .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2016, 86 (04) :475-494

[8] INTERPOLATIONS BY BOUNDED ANALYTIC FUNCTIONS AND CORONA PROBLEM [J].

CARLESON, L .

ANNALS OF MATHEMATICS, 1962, 76 (03) :547-&

[9]

Cima J., 1995, J OPER THEORY, V33, P363

[10]

CIMA JA, 1982, J OPERAT THEOR, V7, P157

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