Inhomogeneous Besov and Triebel-Lizorkin spaces associated with a para-accretive function and their applications  

作　　者：LIAO Fang-hui LIU Zong-guang ZHANG Xiao-jin 

机构地区：[1]School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,China [2]Department of Mathematics,China University of Mining and Technology,Beijing 100083,China [3]Department of basic curriculum,North China Institute of Science and Technology,Langfang 065201,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2023年第4期493-509,共17页高校应用数学学报（英文版）（B辑）

基　　金：supported by the National Natural Science Foundation of China(11901495);Hunan Provincial NSF Project(2019JJ50573);the Scientific Research Fund of Hunan Provincial Education Department(22B0155)。

摘　　要：In this paper,using inhomogeneous Calderon’s reproducing formulas and the space of test functions associated with a para-accretive function,the inhomogeneous Besov and TriebelLizorkin spaces are established.As applications,pointwise multiplier theorems are also obtained.

关 键 词：para-accretive function Calderon's reproducing formula Besov space Triebel-Lizorkin space pointwise multiplier 

分 类 号：O177[理学—数学]