Brief communications

Characterization of the analytic weighted Besov space in terms of the radial differentiation operators

F. D. Kodzoeva

Southern Federal University, Rostov-on-Don, Russia

Abstract: We characterize the functions of the weighted Besov space on the unit circle in the complex plane in terms of certain operators of fractional differentiation.

Keywords: Möbius transform, hyperbolic Bergman metric, fractional differentiation operator.

UDC: 517.547

Received: 11.01.2008

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2008, 52:10, 64–66

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