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Title: Ahlfors-regular distances on the Heisenberg group without biLipschitz pieces: REGULAR DISTANCES ON THE HEISENBERG GROUP
NSF-PAR ID:
10033612
Author(s) / Creator(s):
 ;  ;  
Publisher / Repository:
DOI PREFIX: 10.1112
Date Published:
Journal Name:
Proceedings of the London Mathematical Society
Volume:
115
Issue:
2
ISSN:
0024-6115
Page Range / eLocation ID:
348 to 380
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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  1. Abstract

    We study commutators with the Riesz transforms on the Heisenberg group$${\mathbb {H}}^{n}$$Hn. The Schatten norm of these commutators is characterized in terms of Besov norms of the symbol. This generalizes the classical Euclidean results of Peller, Janson–Wolff and Rochberg–Semmes. The method in proof bypasses the use of Fourier analysis, allowing us to address not just the Riesz transforms, but also the Cauchy–Szegő projection and second order Riesz transforms on$${\mathbb {H}}^{n}$$Hnamong other settings.

     
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  2. null (Ed.)