WAVELET CHARACTERIZATION FOR BESOV SPACE ON INTERVAL

Junjian Zhao (P. R. China)

Received April 23, 2009

Abstract

By defining the interpolatory Hermite operators, Bittner and Urban characterized some Besov spaces on  [1]. We study those operators’ convergence in the sense of Besov norm defined on the interval [0, 1] and give a characterization for some functional spaces.

Keywords and phrases: Hermite operators, Besov space, characterization.