GENERALIZED COUNTING FUNCTIONS AND COMPOSITION OPERATORS ON WEIGHTED BERGMAN SPACES OF DIRICHLET SERIES  

作　　者：Min HE Maofa WANG Jiale CHEN 何敏;王茂发;陈家乐

机构地区：[1]School of Information and Mathematics,Yangtze University,Jingzhou,434023,China [2]School of Mathematics and Statistics,Wuhan University,Wuhan,430072,China [3]School of Mathematics and Statistics,Shaanxi Normal University,Xi’an,710119,China

出　　处：《Acta Mathematica Scientia》2025年第2期291-309,共19页数学物理学报(B辑英文版)

基　　金：supported by the National Natural Science Foundation of China(12171373);Chen's work also supported by the Fundamental Research Funds for the Central Universities of China(GK202207018).

摘　　要：In this paper,we study composition operators on weighted Bergman spaces of Dirichlet series.We first establish some Littlewood-type inequalities for generalized mean counting functions.Then we give sufficient conditions for a composition operator with zero characteristic to be bounded or compact on weighted Bergman spaces of Dirichlet series.The corresponding sufficient condition for compactness in the case of positive characteristics is also obtained.

关 键 词：generalized counting function Dirichlet series composition operator weighted Bergman space 

分 类 号：O174.2[理学—数学]