WEIGHTED NORM INEQUALITIES FOR DERIVATIVES ON BERGMAN SPACES

被引：2
|
作者：
Pelaez, Jose Angel [1 ]
Rattya, Jouni [2 ]
机构：
[1] Univ Malaga, Dept Anal Matemat, Campus Teatinos, Malaga 29071, Spain
[2] Univ Eastern Finland, POB 111, Joensuu 80101, Finland
来源：
ANNALES DE L INSTITUT FOURIER | 2024年 / 74卷 / 03期
基金：
芬兰科学院;
关键词：
Bergman space; Carleson measure; integral operator; equality; H & ouml; rmander-type maximal function; resolvent set; INTEGRATION OPERATORS; PROJECTION; SPECTRA;
D O I：
10.5802/aif.3632
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An equivalent norm in the weighted Bergman space A p omega , induced by an omega in a certain large class of non -radial weights, is established in terms of higher order derivatives. Other Littlewood-Paley inequalities are also considered. On the way to the proofs, we characterize the q -Carleson measures for the weighted Bergman space A p omega and the boundedness of a H & ouml;rmander-type maximal function. Results obtained are further applied to describe the resolvent set of the integral operators T g (f)(z) = f 0 z g ' (()f (() c1( acting on A p omega .
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页码：1721 / 1744
页数：25
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