STRONG EQUIVALENCES OF APPROXIMATION NUMBERS AND TRACTABILITY OF WEIGHTED ANISOTROPIC SOBOLEV EMBEDDINGS

作     者：Jidong HAO Heping WANG 郝季东;汪和平

作者机构：School of Mathematical SciencesCapital Normal UniversityBeijing 100048China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2020年第40卷第6期

页      面：1765-1782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：the National Natural Science Foundation of China(11671271) the Natural Science Foundation of Beijing Municipality(1172004) 

主　　题：strong equivalences tractability approximation numbers weighted anisotropic spaces analytic Korobov spaces 

摘      要：In this article,we study multivariate approximation defined over weighted anisotropic Sobolev spaces which depend on two sequences a={a j}j≥1 and b={b j}j≥1 of positive *** obtain strong equivalences of the approximation numbers,and necessary and sufficient conditions on a,b to achieve various notions of tractability of the weighted anisotropic Sobolev embeddings.