On the Boundedness of Integral Operators in Morrey-Type Spaces with Variable Exponents

被引：1
|
作者：
Bokayev N.A. [1 ]
Onerbek Z.M. [1 ]
机构：
[1] L.N. Gumilyov Eurasian National University, Nur-Sultan
来源：
Siberian Advances in Mathematics | 2022年 / 32卷 / 2期
关键词：
boundedness; fractional maximal operator; global Morrey-type space with variable exponents; Riesz potential;
D O I：
10.1134/S1055134422020018
中图分类号：
学科分类号：
摘要：
Abstract: We consider the global Morrey-type spaces (Formula presented.) with variable exponents (Formula presented.) defining these spaces. In the case of unboundedsets (Formula presented.), we prove theboundedness of the Hardy–Littlewood maximal operator and potential-type operator in thesespaces. We prove Spanne-type results on the boundedness of the Riesz potential (Formula presented.) in global Morrey-type spaces with variableexponents (Formula presented.). © 2022, Pleiades Publishing, Ltd.
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页码：79 / 86
页数：7
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