This article is cited in 1 paper

Interpolation of Rational Approximation Spaces Belonging to the Besov Class

V. L. Kreptogorskii

Kazan Branch Military Artillery University

Abstract: The Peetre real interpolation method is realized for the Besov class of spaces of analytic functions on the circle. We obtain a description of interpolation norms with the help of difference-differential constructions. We consider rational approximation spaces in the $BMOA$ and $H_p$ norms.

UDC: 517.982

Received: 30.07.2003

DOI: 10.4213/mzm2544

 English version: Mathematical Notes, 2005, 77:6, 809–816

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