Weak type (1,1) estimates for inverses of discrete rough singular integral operators

Published 12 Jul 2017 in math.FA | (1707.03597v2)

Abstract: We obtain weak type (1,1) estimates for the inverses of truncated discrete rough Hilbert transform. We include an ex- ample showing that our result is sharp. One of the ingredients of the proof are regularity estimates for convolution of singular measure associated with the sequence $[m^\alpha]$.

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