On some properties of a class of degenerate pseudodifferential operators
- Авторлар: Baev A.1, Rabotinskaya N.1
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Мекемелер:
- Voronezh State University
- Шығарылым: Том 96, № 3 (2017)
- Беттер: 545-548
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225414
- DOI: https://doi.org/10.1134/S1064562417060023
- ID: 225414
Дәйексөз келтіру
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.
Авторлар туралы
A. Baev
Voronezh State University
Хат алмасуға жауапты Автор.
Email: alexsandrbaev@mail.ru
Ресей, Voronezh, 394006
N. Rabotinskaya
Voronezh State University
Email: alexsandrbaev@mail.ru
Ресей, Voronezh, 394006