Interpolatory Estimates, Riesz Transforms and Wavelet Projections
Functional Analysis
2014-09-09 v1 Classical Analysis and ODEs
Abstract
We prove that directional wavelet projections and Riesz transforms are related by interpolatory estimates. The exponents of interpolation depend on the H\"older estimates of the wavelet system. This paper complements and continues previous work on Haar projections.
Keywords
Cite
@article{arxiv.1409.2143,
title = {Interpolatory Estimates, Riesz Transforms and Wavelet Projections},
author = {Paul F. X. Müller and Stefan Mueller},
journal= {arXiv preprint arXiv:1409.2143},
year = {2014}
}