Authors: Kangwei Li Wenchang Sun
Publish Date: 2011/12/29
Volume: 18, Issue: 3, Pages: 439-455
Abstract
In this paper we study the pointwise convergence of the Calderón reproducing formula which is also known as an inversion formula for wavelet transforms We show that for every fin L wpmathbb Rd with an mathcalA p weight w 1≤p∞ the integral is convergent at every Lebesgue point of f and therefore almost everywhere Moreover we prove the convergence without any assumption on the smoothness of wavelet functions
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