Higher order Riesz transforms in the ultraspherical setting as principal value integral operators
Classical Analysis and ODEs
2010-05-11 v1
Abstract
In this paper we represent the -th Riesz transform in the ultraspherical setting as a principal value integral operator for every . We also measure the speed of convergence of the limit by proving -boundedness properties for the oscillation and variation operators associated with the corresponding truncated operators.
Cite
@article{arxiv.1005.1492,
title = {Higher order Riesz transforms in the ultraspherical setting as principal value integral operators},
author = {Jorge J. Betancor and Juan C. Fariña and Lourdes Rodríguez-Mesa and Ricardo Testoni},
journal= {arXiv preprint arXiv:1005.1492},
year = {2010}
}