On the convolution operator in Morrey spaces
Nursultanov E.D. Suragan D.
1 November 2022Academic Press Inc.
Journal of Mathematical Analysis and Applications
2022#515Issue 1
This paper is devoted to the study of upper bounds for the norm of the convolution operator in Morrey spaces. The spaces Mp,qα, which cover the classical Morrey spaces, are introduced. Moreover, their embedding properties are investigated, and their interpolation properties are described. Young-ONeil type inequalities in Morrey spaces are proved. New results on the boundedness of Rieszs potential in Morrey spaces are established.
Convolution operator , Interpolation theorems , Morrey spaces , Rieszs potential , Young-ONeil inequality
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Department of Mathematics and Informatics, Lomonosov Moscow State University, Kazakhstan Branch, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics, Nazarbayev University, Kazakhstan
Department of Mathematics and Informatics
Institute of Mathematics and Mathematical Modeling
Department of Mathematics
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