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arXiv · 1110.3236

Revisiting Riesz transforms on Heisenberg groups

P. K. Sanjay·S. Thangavelu
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Abstract

We characterise higher order Riesz transforms on the Heisenberg group and also show that they satisfy dimension-free bounds under some assumptions on the multipliers. Using transfer- ence theorems, we deduce boundedness theorems for Riesz trans- forms on the reduced Heisenberg group and hence also for the Riesz transforms associated to multiple Hermite and Laguerre ex- pansions.

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BibTeXRIS

P. K. Sanjay, S. Thangavelu. 2011-10-14. Revisiting Riesz transforms on Heisenberg groups. https://arxiv.org/abs/1110.3236

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