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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
Spectral theory of a hybrid class of pseudo-differential operators
Type
JournalPaper
Keywords
SG-pseudo-differential operators; M-hypoellipticity; minimal and maximal operators; Fredholm operators; essential spectra
Year
2014
Journal Complex variables and elliptic equations
DOI
Researchers mohsen Alimohammady ، Morteza Koozehgar Kalleji

Abstract

In this paper we introduce the hybrid class of the so-called SG−M-hypoelliptic symbols, and consider the corresponding pseudo-differential operators.With any SG−M-elliptic pseudo-differential operator with positive order, we associate the minimal and maximal operators on L p(Rn), 1 < p < ∞. Further on, we prove that the minimal and maximal operators are equal and we compute their domains in terms of a family of suitable Sobolev spaces. In the last section, we show that an SG−M-elliptic pseudo-differential operator is Fredholm. Moreover, we discuss the essential spectra of SG−M-elliptic pseudo-differential operators with suitable orders.