Number: Math 78/94
Author(s): LIPPUS, Juri.
Title: Wavelet coefficients of functions of generalized Lipschitz classes. 10 p.
Language: English
Keywords: Wavelet coefficients; multipliers.
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ABSTRACT. In this paper we study the coefficients of wavelet and
multiresolution-type expansions of functions with a given
majorant of the modulus of continuity. We prove that the
coefficient criteria of ordinary Lipschitz classes hold for a
slightly larger class of majorants, namely those, satisfying the
so-called Bari-Stechkin condition. As an application of the main
result of this paper we give a necessary and sufficient
multiplier condition for wavelet and multiresolution-type
expansions.