Marcinkiewicz spaces with variable exponents

被引：0

作者：

Xia, Liuye ^{[1
]}

Han, Yingxiao ^{[1
]}

Fang, Mi ^{[1
]}

Gao, Hongya ^{[1
]}

机构：

[1] Hebei Univ, Coll Math & Informat Sci, Baoding 071002, Peoples R China

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2025年 / 32卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Marcinkiewicz space; variable exponent; quasi-normed linear space;

D O I：

10.1515/gmj-2024-2040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Marcinkiewicz spaces with variable exponents are defined and some basic properties are given.

引用

页码：339 / 347

页数：9

共 12 条

[1]

[Anonymous], 2016, Singular Solutions of Nonlinear Elliptic and Parabolic Equations

[2]

Bag T., 2014, J FUZZY MATH, V22, P669

[3]

Boccardo L., 2014, Elliptic partial differential equations

[4]

Ephremidze L., 2008, FRACT CALC APPL ANAL, V11, P407

[5] Sobolev embedding theorems for spaces Wk,p(x)(Ω) [J].

Fan, XL ;

Shen, JS ;

Zhao, D .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 262 (02) :749-760

[6] On the spaces Lp(x)(Ω) and Wm, p(x)(Ω) [J].

Fan, XL ;

Zhao, D .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 263 (02) :424-446

[7]

Israfilov D. M., 2006, IBSU SCI J, V1, P171

[8] Lorentz spaces with variable exponents [J].

Kempka, Henning ;

Vybiral, Jan .

MATHEMATISCHE NACHRICHTEN, 2014, 287 (8-9) :938-954

[9]

Liang S, 2022, MEDITERR J MATH, V19, DOI 10.1007/s00009-022-02176-2

[10] Lorentz estimates to nonlinear elliptic obstacle problems of p(x)-growth in Reifenberg domains [J].

Liang, Shuang ;

Zheng, Shenzhou .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 501 (01)

← 1 2 →