2017
Том 69
№ 9

# Analog of the John theorem for weighted spherical means on a sphere

Abstract

We study generalizations of the class of functions with zero integrals over the balls of fixed radius. An analog of the John uniqueness theorem is obtained for weighted spherical means on a sphere.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 5, pp 674-683.

Citation Example: Savost’yanova I. M., Volchkov V. V. Analog of the John theorem for weighted spherical means on a sphere // Ukr. Mat. Zh. - 2013. - 65, № 5. - pp. 611–619.

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