RIESZ POTENTIALS IN THE LOCAL VARIABLE MORREY-LORENTZ SPACES AND SOME APPLICATIONS

被引：1

作者：

Aykol, Canay ^{[1
]}

Hasanov, Javanshir ^{[2
]}

机构：

[1] Ankara Univ, Fac Sci, Dept Math, TR-06560 Ankara, Turkiye

[2] Azerbaijan State Oil & Ind Univ, Baku, Azerbaijan

来源：

MISKOLC MATHEMATICAL NOTES | 2024年 / 25卷 / 01期

关键词：

local variable Morrey-Lorentz space; Riesz potential; OPERATORS; BOUNDEDNESS; EXPONENT;

D O I：

10.18514/MMN.2024.4465

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the boundedness of the Riesz potential I alpha in local variable Morrey-Lorentz spaces. Also we apply our results to particular operators such as fractional maximal operator, fractional Marcinkiewicz operator and fractional powers of some analytic semigroups in these spaces.

引用

页码：141 / 151

页数：11

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