BOUNDEDNESS OF COMMUTATORS OF AN
OSCILLATORY INTEGRAL OPERATORS
IN VARIABLE EXPONENT MORREY SPACES
Ali M. Musayev
Azerbaijan State Oil and Industry University
Tazadlig Av. 20, AZ 1601, Baku, AZERBAIJAN

Abstract

In this paper first we prove Calderón-Zygmund-type integral inequalities for oscillatory integral operators and their commutators in the modified Morrey spaces with variable exponent $L^{p(\cdot),\lambda}(\Omega)$, where $\Omega \subset R^n$ are unbounded sets.

After that we prove the boundedness of these operators on the spaces $L^{p(\cdot),\lambda}(\Omega)$.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 34
Issue: 4
Year: 2021

DOI: 10.12732/ijam.v34i4.11

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