Hausdorff operators on weighted Bergman and Hardy spaces

被引：0

作者：

Hung, Ha Duy ^{[1
]}

Ky, Luong Dang ^{[2
]}

机构：

[1] Hanoi Natl Univ Educ, High Sch Gifted Students, 136 Xuan Thuy, Hanoi, Vietnam

[2] Quy Nhon Univ, Dept Educ, 170 An Duong Vuong, Quy Nhon, Binh Dinh, Vietnam

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2025年 / 551卷 / 01期

关键词：

Hausdorff operator; Weighted Hardy space; Weighted Bergman space; Holomorphic function; CESARO OPERATORS; BOUNDEDNESS; MATRICES; NORM;

D O I：

10.1016/j.jmaa.2025.129661

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let 1 <= p-1, and let phi be a measurable function on (0,infinity). The main purpose of this paper is to study the Hausdorff operator H(phi)f(z)=integral(infinity)(0)f(z/t)phi(t)/ t dt, z is an element of C+, on the weighted Bergman space A alpha p(C+) and on the power weighted Hardy space H-|& sdot;|alpha(p)(C+) of the upper half-plane. Some applications to the real version of H(phi )are also given.

引用

页数：23

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