On a theorem of John and its generalizations

Author I. M. Savostyanova, Vit. V. Volchkov
cavost@mail.ru
Donetsk National University

Abstract The purpose of this paper is to consider some generalizations of the class of functions having zero integrals over balls of a fixed radius. We obtain an analog of John's uniqueness theorem for weighted spherical means on sphere.
Keywords spherical means; spherical cap; Legendre functions
Reference
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Pages 16-22
Volume 40
Issue 1
Year 2013
Journal Matematychni Studii
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