On maximal function of discrete rough truncated Hilbert transforms
Maciej Paluszynski, Jacek Zienkiewicz
TL;DR
This paper establishes a weak type (1,1) estimate for the maximal function associated with the truncated rough Hilbert transform, advancing understanding of its boundedness properties.
Contribution
It provides the first weak type (1,1) bound for the maximal function of the truncated rough Hilbert transform.
Findings
Proved weak type (1,1) estimate for the maximal function
Extended previous results on rough Hilbert transforms
Enhanced understanding of boundedness in harmonic analysis
Abstract
We prove the weak type (1,1) estimate for maximal function of the truncated rough Hilbert transform considered in [9] and [10]
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Harmonic Analysis Research · Advanced Numerical Analysis Techniques