Journal of Siberian Federal University. Mathematics & Physics / Iterates of the Bochner-Martinelli Integral Operator in a Ball

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2009 2 (2)
Authors
Kytmanov, Alexander M.; Myslivets, Simona G.
Contact information
Kytmanov, Alexander M. av. Svobodny 79, Krasnoyarsk, 660041, Russia ; Myslivets, Simona G. av. Svobodny 79, Krasnoyarsk, 660041, Russia
Keywords
Bochner-Martinelli integral operator; iterates
Abstract

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.

Pages
137-145
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/1266