Spectral invariance for pseudodifferential operators in Hölder–Zygmund spaces of the variable smoothness

2016 ◽  
Vol 9 (1) ◽  
pp. 95-104 ◽  
Author(s):  
Vadim Kryakvin ◽  
Gulnara Omarova
Keyword(s):  
Pseudodifferential Operators ◽  
Spectral Invariance ◽  
Variable Smoothness ◽  
Zygmund Spaces

scholarly journals SPECTRAL INVARIANCE FOR CERTAIN ALGEBRAS OF PSEUDODIFFERENTIAL OPERATORS

2005 ◽  
Vol 4 (3) ◽  
pp. 405-442 ◽  
Author(s):  
Robert Lauter ◽  
Bertrand Monthubert ◽  
Victor Nistor
Keyword(s):  
Pseudodifferential Operators ◽  
Spectral Invariance

scholarly journals The Boutet de Monvel operators in variable Hölder–Zygmund spaces on $\mathbb{R}^{n}_+$

2021 ◽  
Vol 31 (2) ◽  
pp. 194-209
Author(s):  
V.D. Kryakvin ◽  
G.P. Omarova
Keyword(s):  
Sufficient Conditions ◽  
Variable Smoothness ◽  
Zygmund Spaces

We consider Green operators from the Boutet de Monvel algebra in the Hölder–Zygmund spaces of variable smoothness on $\overline{\mathbb R}^{n}_+$. The order of smoothness depends on a point in the domain and may take negative values. The sufficient conditions of boundedness of the Boutet de Monvel operators are obtained.

Pseudodifferential Operators on Besov Spaces of Variable Smoothness

2018 ◽  
Vol 104 (3-4) ◽  
pp. 545-558
Author(s):  
V. D. Kryakvin ◽  
V. S. Rabinovich
Keyword(s):  
Besov Spaces ◽  
Pseudodifferential Operators ◽  
Variable Smoothness
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