MEAN APPROXIMATION BY DILATATIONS IN BERGMAN SPACES ON THE UPPER HALF-PLANE

被引：0

作者：

Ali ABKAR ^{[1
]}

机构：

[1] Department of Pure Mathematics,Faculty of Science,Imam Khomeini International University

来源：

Acta Mathematica Scientia | 2023年 / 05期

关键词：

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

We study sufficient conditions on radial and non-radial weight functions on the upper half-plane that guarantee norm approximation of functions in weighted Bergman,weighted Dirichlet,and weighted Besov spaces on the upper half-plane by dilatations and eventually by analytic polynomials.

引用

页码：2204 / 2214

页数：11

共 50 条

[31] THE ALGEBRAISTS UPPER HALF-PLANE
GOSS, D
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 2 (03) : 391 - 415
[32] Vertical symbols, Toeplitz operators on weighted Bergman spaces over the upper half-plane and very slowly oscillating functions
Herrera Yanez, Crispin
Hutnik, Ondrej
Maximenko, Egor A.
COMPTES RENDUS MATHEMATIQUE, 2014, 352 (02) : 129 - 132
[33] WEAKLY COMPACT COMPOSITION OPERATORS ON BERGMAN SPACES OF THE UPPER HALF PLANE
Jiang, Zhi Jie
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (06) : 1075 - 1080
[34] Spectra of linear fractional composition operators on the Hardy and weighted Bergman spaces of the half-plane
Schroderus, Riikka
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 447 (02) : 817 - 833
[35] THE THEORY OF HARDY-SOBOLEV SPACES OVER THE UPPER HALF-PLANE
Liu, Detian
Li, Haichou
Kou, Kit ian
Qu, Wei
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2025, 9 (02): : 247 - 262
[36] Approximation of the Müntz-Szász type in weight spaces Lp and zeroes of functions of Bergman classes in a half-plane
A. M. Sedletskii
Russian Mathematics, 2008, 52 (5) : 80 - 87
[37] Approximation of the Muntz-Szasz Type in Weight Spaces L-p and Zeroes of Functions of Bergman Classes in a Half-Plane
Sedletskii, A. M.
RUSSIAN MATHEMATICS, 2008, 52 (05) : 80 - 87
[38] WEIGHTED COMPOSITION OPERATORS BETWEEN GROWTH SPACES OF THE UPPER HALF-PLANE
Stevic, Stevo
Sharma, Ajay K.
UTILITAS MATHEMATICA, 2011, 84 : 265 - 272
[39] THE THEORY OF HARDY-SOBOLEV SPACES OVER THE UPPER HALF-PLANE
Liu, Detian
Li, Haichou
Kou, Kit Ian
Qu, Wei
Journal of Nonlinear and Variational Analysis, 2 (247-262):
[40] Bounded operators on weighted spaces of holomorphic functions on the upper half-plane
Ardalani, Mohammad Ali
Lusky, Wolfgang
STUDIA MATHEMATICA, 2012, 209 (03) : 225 - 234

← 1 2 3 4 5 →