This article is cited in 3 papers

Multidimensional conjugation operators and deformations of the classes $Z(\omega^{(2)};C(T^m))$

M. M. Lekishvili, A. N. Danelia

Tbilisi Ivane Javakhishvili State University

Abstract: The smoothness of conjugate functions of several variables is studied in terms of the second moduli of smoothness. It is proved that in a sufficiently general case the invariance of the classes considered is violated in just the same way as for classes specified by moduli of continuity.

UDC: 517.51

Received: 05.01.1997

DOI: 10.4213/mzm1355

 English version: Mathematical Notes, 1998, 63:6, 752–759

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