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arxiv: 1409.2143 · v1 · pith:XCMDYF3Vnew · submitted 2014-09-07 · 🧮 math.FA · math.CA

Interpolatory Estimates, Riesz Transforms and Wavelet Projections

classification 🧮 math.FA math.CA
keywords estimatesprojectionswaveletinterpolatoryriesztransformscomplementscontinues
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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.

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