Marcinkiewicz-type interpolation theorem and estimates for convolutions for Morrey-type spaces

Victor Burenkov; Diana Chigambayeva; Erlan Nursultanov

Marcinkiewicz-type interpolation theorem and estimates for convolutions for Morrey-type spaces

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Authors

Victor Burenkov
Diana Chigambayeva
Erlan Nursultanov

Keywords:

Morrey spaces, generalized Morrey-type spaces, interpolation theorem, convolution operator

Abstract

We introduce a class of Morrey-type spaces M_p,q,Ω^λ, which includes the classical Morrey spaces. We discuss their properties and we prove a Marcinkiewicz-type interpolation theorem. This theorem is then applied to obtaining a Young-O’Neil-type inequality for the convolution operator in Morrey-type spaces.

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Published

2024-05-26

How to Cite

Burenkov, V., Chigambayeva, D., & Nursultanov, E. (2024). Marcinkiewicz-type interpolation theorem and estimates for convolutions for Morrey-type spaces. Eurasian Mathematical Journal, 9(2). Retrieved from https://emj.enu.kz/index.php/main/article/view/118