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Analog of the john theorem for weighted spherical means on a sphere

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Ukrainian Mathematical Journal Aims and scope

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.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 5, pp. 611–619, May, 2013.

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Volchkov, V.V., Savost’yanova, I.M. Analog of the john theorem for weighted spherical means on a sphere. Ukr Math J 65, 674–683 (2013). https://doi.org/10.1007/s11253-013-0805-7

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  • DOI: https://doi.org/10.1007/s11253-013-0805-7

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