Optimal distributional estimates of the multiple Hilbert transform
arXiv:2606.02910
Abstract
In this paper, we study optimal distributional estimates for the multiple Hilbert transform. We obtain pointwise upper and lower distributional estimates of the multiple Hilbert transform in terms of the -fold composition of the Calderón operator with itself. This extends the fundamental results by A. P. Calderón, D. Boyd, and Ch. Fefferman for arbitrary
An error in one lemma is corrected. Welcome to any comments!