Weighted Besov spaces with variable exponents

被引：5

作者：

Wang, Shengrong ^{[1
]}

Xu, Jingshi ^{[1
]}

机构：

[1] Guilin Univ Elect Technol, Guangxi Coll & Univ Key Lab Data Anal & Computat, Sch Math & Comp Sci, Guilin 541004, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 505卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Muckenhoupt weight; Variable exponent; Besov space; Embedding; Duality; Interpolation; TRIEBEL-LIZORKIN SPACES; APPROXIMATION NUMBERS; MUCKENHOUPT WEIGHTS; NORM INEQUALITIES; MAXIMAL FUNCTIONS; SMOOTHNESS; EMBEDDINGS; INTERPOLATION; LEBESGUE; OPERATOR;

D O I：

10.1016/j.jmaa.2021.125478

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce Besov spaces with variable exponents and variable Muckenhoupt weights. Then we give a approximation characterization, the lifting property, embeddings, the duality and interpolation of these spaces. (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：27

共 45 条

[31] WEIGHTED NORM INEQUALITIES FOR HARDY MAXIMAL FUNCTION
MUCKENHOUPT, B
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 165 (MAR) : 207 - +
[32] Hardy spaces with variable exponents and generalized Campanato spaces
Nakai, Eiichi
Sawano, Yoshihiro
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 262 (09) : 3665 - 3748
[33] Hardy-Littlewood maximal operator on Lp(x)(R)
Nekvinda, A
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2004, 7 (02): : 255 - 265
[34] FOURIER MULTIPLIER THEOREMS FOR BESOV AND TRIEBEL-LIZORKIN SPACES WITH VARIABLE EXPONENTS
Noi, Takahiro
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (01): : 49 - 74
[35] Complex interpolation of Besov spaces and Triebel-Lizorkin spaces with variable exponents
Noi, Takahiro
Sawano, Yoshihiro
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 387 (02) : 676 - 690
[36] Peetre J., 1963, RIC MAT, V12, P248
[37] Sawano Y, 2018, DEV MATH, V56, DOI 10.1007/978-981-13-0836-9
[38] SPACES OF DISTRIBUTIONS OF BESOV TYPE ON EUCLIDEAN N-SPACE - DUALITY, INTERPOLATION
TRIEBEL, H
[J]. ARKIV FOR MATEMATIK, 1973, 11 (01): : 13 - 64
[39] Triebel H., 2010, MONOGRAPHS MATH
[40] Vybíral J, 2009, ANN ACAD SCI FENN-M, V34, P529

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