OSCILLATORY INTEGRAL OPERATORS AND THEIR
COMMUTATORS IN MODIFIED WEIGHTED MORREY
SPACES WITH VARIABLE EXPONENT
Javanshir J. Hasanov1, Ali M. Musayev2
1,2Azerbaijan State Oil and Industry University
AZ 1010, Baku, 20 Azadlig Ave., AZERBAIJAN

Abstract

In this paper first we prove Calderón-Zygmund-type integral inequalities for oscillatory integral operators and their commutators in the modified weighted Morrey spaces with variable exponent $\mathcal{\widetilde{L}}^{p(\cdot),\lambda}_{\om}(\Om)$, where $\Om \subset \mathbb{R}^n$ are unbounded sets. After that we prove the boundedness of these operators on the spaces $\mathcal{\widetilde{L}}^{p(\cdot),\lambda}_{\om}(\Om)$.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 32
Issue: 3
Year: 2019

DOI: 10.12732/ijam.v32i3.12

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