Variable Besov-type Spaces

作     者：Zouheyr ZEGHAD Douadi DRIHEM Zouheyr ZEGHAD;Douadi DRIHEM

作者机构：M’sila UniversityDepartment of MathematicsLaboratory of Functional Analysis and Geometry of SpacesP.O.Box 166M’sila28000Algeria 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2023年第39卷第4期

页      面：553-583页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the General Direction of Higher Education and Training the General Directorate of Scientific Research and Technological Development,Algeria (Grant No.C00L03UN280120180007) 

主　　题：Atom embeddings Besov space maximal function variable exponent 

摘      要：In this paper we introduce Besov-type spaces with variable smoothness and *** show that these spaces are characterized by theφ-transforms in appropriate sequence spaces and we obtain atomic decompositions for these *** the Sobolev embeddings for these function spaces are obtained.