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Morteza Koozehgar Kalleji

Morteza Koozehgar Kalleji

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0002-7052-7241
Education: PhD.
ScopusId: 55803631900
Faculty: Science
Address: Arak University
Phone:

Research

Title
BOUNDEDNESS OF MIKHLIN OPERATOR IN VARIABLE EXPONENT MORREY SPACE
Type
JournalPaper
Keywords
Fourier multiplier operator, variable exponent Morrey space, bounded operator
Year
2021
Journal Mathematical Analysis and Convex Optimization
DOI
Researchers Morteza Koozehgar Kalleji

Abstract

G. Mikhlin proved the boundedness of the Fourier multiplier operator in the classical Lebesgue space if the multiplier function is a bounded function. In [2], the authors obtained the same result of the classical Morrey space. In this paper, we prove that Mikhlin operator with bounded multiplier function is bounded operator on Morrey space with variable exponent which is containing the classical Lebesgue space with variable exponent and the classical Morrey space.