一类函数空间上偏微分算子有界性和紧性的刻画(英文)  

CHARACTERIZATION OF BOUNDEDNESS AND COMPACTNESS FOR PARTIAL DIFFERENTIAL OPERATORS ON A CLASS OF FUNCTION SPACES

作　　者：王春[1] 

机构地区：[1]长治学院数学系,山西长治046011

出　　处：《数学杂志》2012年第1期49-54,共6页Journal of Mathematics

基　　金：Supported by Scientific Research and Development Project of Higher Colleges of Shanxi Province (20101130);Scientific Research Project of Changzhi University (2008201)

摘　　要：本文研究了一类具有再生核的多复变量函数空间上偏微分算子的有界性和紧性.利用算子理论的方法,获得了偏微分算子是有界的和紧的充分必要条件,推广了文献[1]中的结果.In this article,we study the boundedness and compactness of partial differential operators on a class of several complex variables function spaces with reproducing kernel functions.By using operator-theoretic method,necessary and sufficient conditions are obtained for the partial differential operators to be bounded and compact,thus the results in [1] are extended.

关 键 词：有界性 紧性 偏微分算子 再生核 函数空间 

分 类 号：O177.1[理学—数学]