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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
Bounded and Fredholm properties of SG-pseudo-differential operators in variable exponent spaces
Type
JournalPaper
Keywords
SG-Pseudo-differential operator · Fredholm property · Sobolev variable 8 exponent spaces
Year
2021
Journal Journal of Pseudo-Differential Operators and Applications
DOI
Researchers Morteza Koozehgar Kalleji

Abstract

This paper is devoted to the boundedness and Fredholmness of SG􀀀pseudo-di erential operators with non-zero order in the Lebesgue spaces with variable exponent p(x): Moreover, we obtain a necessary and sufficient condition for SG􀀀pseudo-di erential operators of the class OPSGm1 ;0 to be Fredholm on Sobolev spaces Hs p(:) with constant smoothness s and variable exponent p(x):