Interpolatory Estimates, Riesz Transforms and Wavelet Projections

2014/09/07 by Paul F. X. Müller, Müller, Paul F. X., Stefan Mueller +1
Mathematics · #42B15 42C40 46B70 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #math.CA #math.FA #msc:42B15 #msc:42C40 #msc:46B70

paper · pdf · doi:10.48550/arxiv.1409.2143

arxiv created 2014/09/07 · arxiv updated 2014/09/09

Abstract

We prove that directional wavelet projections and Riesz transforms are related by interpolatory estimates. The exponents of interpolation depend on the Hölder estimates of the wavelet system. This paper complements and continues previous work on Haar projections.

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