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

• Date: 2013
• Main Authors: Volchkov, V. V., Savost’yanova, I. M., Волчков, Вит. В., Савостьянова, И. М.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2445
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.