Curved commutators in the plane

2024/03/13 by Li, Kangwei, Martikainen, Henri, Oikari, Tuomas · 1 citation
#42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2403.08338

Abstract

We complete the L^p boundedness theory of commutators of Hilbert transforms along monomial curves by providing the previously missing lower bounds. This optimal result now covers all monomial curves while previous results had significant geometric restrictions. We also, for the first time, develop the corresponding necessity theory for curves with non-vanishing torsion.

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• Domains with globally exponentially integrable parabolic forward-in-time BMO

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