On $L^p$-contractivity of Laguerre semigroups
Classical Analysis and ODEs
2013-12-30 v1
Abstract
We study several Laguerre semigroups appearing in the literature and find sharp ranges of type parameters for which these semigroups are contractive on all spaces, . We also answer a similar question for Bessel semigroups, which in a sense are closely related to the Laguerre semigroups.
Cite
@article{arxiv.1011.5437,
title = {On $L^p$-contractivity of Laguerre semigroups},
author = {Adam Nowak and Krzysztof Stempak},
journal= {arXiv preprint arXiv:1011.5437},
year = {2013}
}
Comments
16 pages