variable symbol
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2019 ◽  
Vol 488 (5) ◽  
pp. 467-470
Author(s):  
А. D. Baev ◽  
A. A. Babaytsev ◽  
V. D. Kharchenko

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.


2014 ◽  
Vol 32 (19) ◽  
pp. 3317-3323 ◽  
Author(s):  
Marco Mattarei ◽  
Antonio Canciamilla ◽  
Stefano Grillanda ◽  
Francesco Morichetti

2012 ◽  
Vol 20 (4) ◽  
pp. 4796 ◽  
Author(s):  
Keijiro Suzuki ◽  
Hong C. Nguyen ◽  
Takemasa Tamanuki ◽  
Fumihiro Shinobu ◽  
Yuji Saito ◽  
...  

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