On Integral Operators with Homogeneous Kernels in Morrey Spaces

Oleg Avsyankin

On Integral Operators with Homogeneous Kernels in Morrey Spaces

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Authors

Oleg Avsyankin

Keywords:

Morrey space, integral operator, homogeneous kernel, boundedness, symbol, invertibility

Abstract

We consider integral operators with homogeneous kernels in Morrey spaces. For such operators we obtain sufficient conditions of their boundedness. Moreover, for an operator, which is the sum of the identity operator and an operator with a homogeneous kernel, we prove the invertibility criterion.

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Published

2024-05-29

How to Cite

Avsyankin, O. (2024). On Integral Operators with Homogeneous Kernels in Morrey Spaces. Eurasian Mathematical Journal, 12(1). Retrieved from https://emj.enu.kz/index.php/main/article/view/208