Iterates of the Bochner-Martinelli Integral Operator in a Ball

Полный текст (.pdf)
Номер
Математика и физика. Mathematics & Physics. 2009 2 (2)
Авторы
Kytmanov, Alexander M.; Myslivets, Simona G.
Контактная информация
Kytmanov, Alexander M. av. Svobodny 79, Krasnoyarsk, 660041, Russia ; Myslivets, Simona G. av. Svobodny 79, Krasnoyarsk, 660041, Russia
Ключевые слова
Bochner-Martinelli integral operator; iterates
Аннотация

In the present paper we prove the convergence of iterates of the integral Bochner-Martinelli operator in a ball in various spaces: the infinitely-smooth functions, the analytic functions and the spaces conjugate to them, the distributions and the analytic functionals. We give a description of a spectrum of this operator in these spaces as well as the space Lp.

Страницы
137-145
Статья в архиве электронных ресурсов СФУ
http://elib.sfu-kras.ru/handle/2311/1266