JournalsrmiVol. 32, No. 4pp. 1137–1162

Interpolatory estimates, Riesz transforms and wavelet projections

  • Paul F.X. Müller

    Johannes Kepler Universität Linz, Austria

  • Stefan Müller

    Universität Bonn, Germany
Interpolatory estimates, Riesz transforms and wavelet projections cover
Download PDF

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.

Cite this article

Paul F.X. Müller, Stefan Müller, Interpolatory estimates, Riesz transforms and wavelet projections. Rev. Mat. Iberoam. 32 (2016), no. 4, pp. 1137–1162

DOI 10.4171/RMI/910