Revista Matemática Iberoamericana


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Volume 32, Issue 4, 2016, pp. 1137–1162
DOI: 10.4171/RMI/910

Published online: 2016-12-16

Interpolatory estimates, Riesz transforms and wavelet projections

Paul F.X. Müller[1] and Stefan Müller[2]

(1) Johannes Kepler Universität Linz, Austria
(2) Universität Bonn, Germany

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.

Keywords: Riesz transform, directional wavelet projection, interpolatory estimates, rearrangement operators

Müller Paul, Müller Stefan: Interpolatory estimates, Riesz transforms and wavelet projections. Rev. Mat. Iberoamericana 32 (2016), 1137-1162. doi: 10.4171/RMI/910