Email this article On some degenerate pseudodifferential operators
- Authors: Baev А.D.1, Babaytsev A.A.1, Kharchenko V.D.1
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Affiliations:
- Voronezh State University
- Issue: Vol 488, No 5 (2019)
- Pages: 467-470
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/17777
- DOI: https://doi.org/10.31857/S0869-56524885467-470
- ID: 17777
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Abstract
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.
About the authors
А. D. Baev
Voronezh State University
Author for correspondence.
Email: alexsandrbaev@mail.ru
Russian Federation, 1, University square, Voronezh, 394063
A. A. Babaytsev
Voronezh State University
Email: alexsandrbaev@mail.ru
Russian Federation, 1, University square, Voronezh, 394063
V. D. Kharchenko
Voronezh State University
Email: alexsandrbaev@mail.ru
Russian Federation, 1, University square, Voronezh, 394063
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