On the spectrum of difference and differential operators in weighted spaces

2010 ◽  
Vol 44 (1) ◽  
pp. 65-68 ◽  
Author(s):  
M. S. Bichegkuev
Keyword(s):  
Differential Operators ◽  
Weighted Spaces

scholarly journals On some degenerate pseudodifferential operators

2019 ◽  
Vol 488 (5) ◽  
pp. 467-470
Author(s):  
А. D. Baev ◽  
A. A. Babaytsev ◽  
V. D. Kharchenko
Keyword(s):  
Differential Operators ◽  
Integral Transform ◽  
Pseudodifferential Operators ◽  
Adjoint Operator ◽  
Complex Parameter ◽  
Weighted Spaces ◽  
New Class ◽  
Pseudo Differential Operators ◽  
Variable Symbol ◽  
Special Integral

In this paper, a new class of degenerate pseudo-differential operators is investigated, with a variable symbol depending on the complex parameter. Pseudodifferential operators are constructed by a special integral transform. Theorems on the composition and boundedness of these operators in special weighted spaces are proved. The behavior of these operators on hyperplanes of degeneration is investigated. The theorems on the commutation of these operators with differentiation operators are established. A adjoint operator is constructed and an analogue of Goring inequality for degenerate pseudodifferential operators is proved.

Spectral properties of difference and differential operators in weighted spaces

2011 ◽  
Vol 55 (2) ◽  
pp. 13-17 ◽  
Author(s):  
M. S. Bichegkuev ◽  
S. V. Besaeva
Keyword(s):  
Spectral Properties ◽  
Differential Operators ◽  
Weighted Spaces
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