Bellman Functions and Dimension Free $L^p$estimates for the Riesz Transforms in Bessel settings
Classical Analysis and ODEs
2018-03-05 v1
Abstract
In this article we prove dimension free -boundedness of Riesz transforms associated with a Bessel diferential operator. We obtain explicit estimates of the -norms for the Bessel-Riesz transforms in terms of p, establishing a linear behaviour with respect to p. We use the Bellman function technique to prove a bilinear dimension free inequality involving Poisson semigroups defined through this Bessel operator.
Keywords
Cite
@article{arxiv.1803.00789,
title = {Bellman Functions and Dimension Free $L^p$estimates for the Riesz Transforms in Bessel settings},
author = {Jorge J. Betancor and Estefanía Dalmasso and Juan C. Fariña and Roberto Scotto},
journal= {arXiv preprint arXiv:1803.00789},
year = {2018}
}