Singular integral operators in some variable exponent Lebesgue spaces

被引：1

作者：

Kokilashvili, Vakhtang ^{[1
,3
]}

Mastylo, Mieczyslaw ^{[4
]}

Meskhi, Alexander ^{[1
,2
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, Dept Math Anal, 6 Tamarashvili Str, GE-0177 Tbilisi, Georgia

[2] Georgian Tech Univ, 77 Kostava Str, GE-0177 Tbilisi, Georgia

[3] Georgian Natl Acad Sci, 52 Rustaveli Ave, GE-0108 Tbilisi, Georgia

[4] Adam Mickiewicz Univ, Fac Math & Comp Sci, Uniwersytetu Poznanskiego 4, PL-61614 Poznan, Poland

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2021年 / 28卷 / 03期

基金：

美国国家科学基金会;

关键词：

Variable exponent Lebesgue spaces; Cauchy singular integrals; best approximation by trigonometric polynomials;

D O I：

10.1515/gmj-2020-2065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper deals with the exploration of those subclasses of the variable exponent Lebesgue space Lp((.)) with min p((.)) = 1, which are invariant with respect to Cauchy singular integral operators.

引用

页码：375 / 381

页数：7

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