On some degenerate pseudodifferential operators
| Autor: | V. D. Kharchenko, А. D. Baev, A. A. Babaytsev |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Multidisciplinary Pseudodifferential operators General Mathematics 010102 general mathematics Degenerate energy levels Composition (combinatorics) Integral transform 01 natural sciences 010305 fluids & plasmas Hyperplane 0103 physical sciences 0101 mathematics Self-adjoint operator Mathematics Variable (mathematics) |
| Zdroj: | Доклады Академии наук. 488:467-470 |
| ISSN: | 0869-5652 |
| DOI: | 10.31857/s0869-56524885467-470 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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