Approximation in Weighted Analytic Besov Spaces and in Generalized Fock Spaces

被引：3

作者：

Abkar, Ali ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin 34149, Iran

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2022年 / 16卷 / 01期

关键词：

Analytic Besov space; Weighted fock space; Super-biharmonic function; Dilated function; Approximation in norm; OPERATORS; FORMULA;

D O I：

10.1007/s11785-021-01188-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study weighted analytic Besov spaces in the unit disk, and prove that the analytic polynomials are dense in weighted analytic Besov spaces if the non-radial super-biharmonic weight function satisfies certain smoothness and growth condition. We then study sufficient conditions on weight functions to ensure the norm approximation of a given function in a generalized weighted Fock space by its dilated functions.

引用

页数：19

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