On some properties of a class of degenerate pseudodifferential operators
- Авторы: Baev A.1, Rabotinskaya N.1
-
Учреждения:
- Voronezh State University
- Выпуск: Том 96, № 3 (2017)
- Страницы: 545-548
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225414
- DOI: https://doi.org/10.1134/S1064562417060023
- ID: 225414
Цитировать
Аннотация
A new class of pseudodifferential operators with degeneration is considered. The operators are constructed using a special integral transform mapping a weighted differentiation operator to a multiplication operator. The composition and boundedness properties of such operators in special weighted spaces are examined. Theorems on commutation of such operators with differentiation operators are obtained. The behavior of these operators as t → 0and t → +∞ is investigated. The properties of adjoint operators are studied, and an analogue of Gårding’s inequality is proved.
Об авторах
A. Baev
Voronezh State University
Автор, ответственный за переписку.
Email: alexsandrbaev@mail.ru
Россия, Voronezh, 394006
N. Rabotinskaya
Voronezh State University
Email: alexsandrbaev@mail.ru
Россия, Voronezh, 394006