The Journal of Geometric Analysis

, Volume 11, Issue 2, pp 241–264

Wavelet characterization of weighted spaces



We give a characterization of weighted Hardy spaces Hp(w), valid for a rather large collection of wavelets, 0 <p ≤ 1,and weights w in the Muckenhoupt class AWe improve the previously known results and adopt a systematic point of view based upon the theory of vector-valued Calderón-Zygmund operators. Some consequences of this characterization are also given, like the criterion for a wavelet to give an unconditional basis and a criterion for membership into the space from the size of the wavelet coefficients.

Math Subject Classifications

42B20 42B25 42B30 46B15 

Key Words and Phrases

wavelets Hp spaces Ap weights vector-valued Calderón-Zygmund operators Littlewood-Paley theory unconditional bases 


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Copyright information

© Mathematica Josephina, Inc. 2001

Authors and Affiliations

  1. 1.Departamento de Matemáticas, C-XVUniversidad Autónoma de MadridMadridSpain

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