Holomorphic NK and Bergman-type Spaces

被引：0

作者：

Ahmed, A. El-Sayed ^{[1
]}

Bahkit, M. A. ^{[1
]}

机构：

[1] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt

来源：

OPERATOR ALGEBRAS, OPERATOR THEORY AND APPLICATIONS | 2010年 / 195卷

关键词：

N-K-space; Composition operators; Bergman-type spaces; Hadamard gap series; COMPOSITION OPERATORS; SERIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce a new class of functions, called N-K-type space of analytic functions by the help of a nondecreasing function K : [0, infinity) -> [0, infinity). Further, under mild conditions on the weight function K we characterize lacunary series in N-K space. Finally, we study the boundedness and compactness of composition operators between N-K and Bergman spaces.

引用

页码：121 / 138

页数：18

共 50 条

[41] Differences weighted composition operators acting between kind of weighted Bergman-type spaces and the Bers-type space -I
Al-Ahmadi, Aydah Mohammed Ayed
AIMS MATHEMATICS, 2023, 8 (07): : 16240 - 16251
[42] Groupoid gradings: A Morita context, semiprimality, and a Bergman-type question
Flores, Daiana
Morgado, Andrea
Paques, Antonio
COMMUNICATIONS IN ALGEBRA, 2019, 47 (09) : 3500 - 3519
[43] SYNTHESIS OF A DYNEMICIN-A ANALOG AND ITS BERGMAN-TYPE CYCLOAROMATIZATION
TAKAHASHI, T
SAKAMOTO, Y
YAMADA, H
USUI, S
FUKAZAWA, Y
ANGEWANDTE CHEMIE-INTERNATIONAL EDITION IN ENGLISH, 1995, 34 (12): : 1345 - 1348
[44] BERGMAN-TYPE SINGULAR INTEGRAL OPERATORS AND THE CHARACTERIZATION OF CARLESON MEASURES FOR BESOV-SOBOLEV SPACES ON THE COMPLEX BALL
Volberg, Alexander
Wick, Brett D.
AMERICAN JOURNAL OF MATHEMATICS, 2012, 134 (04) : 949 - 992
[45] Multilinear Schur-type tests and boundedness of multilinear Bergman-type operators
Asare-Tuah, Anton
Gonessa, Jocelyn
Sehba, Benoit F.
MONATSHEFTE FUR MATHEMATIK, 2023, 201 (01): : 11 - 51
[46] Multilinear Schur-type tests and boundedness of multilinear Bergman-type operators
Anton Asare-Tuah
Jocelyn Gonessa
Benoit F. Sehba
Monatshefte für Mathematik, 2023, 201 : 11 - 51
[47] Sawyer-type characterizations and sharp weighted norm estimates for Bergman-type operators
Benoît F. Sehba
Positivity, 2021, 25 : 49 - 71
[48] C*-algebras of Bergman-type operators with piecewise continuous coefficients and shifts
Karlovich, Yu. I.
Mozel, V. A.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2012, 57 (7-8) : 841 - 865
[49] Off-Diagonal Boundedness and Unboundedness of Product Bergman-Type Operators
Justice Sam Bansah
Benoît Florent Sehba
Results in Mathematics, 2019, 74
[50] ON A STEFAN PROBLEM INVOLVING A SPHERICAL REGION - APPLICATION OF A BERGMAN-TYPE EXPANSION
ROGERS, C
MCINNIS, C
RASMUSSEN, H
APPLIED MATHEMATICS AND COMPUTATION, 1986, 18 (02) : 143 - 154

← 1 2 3 4 5 →