On $L^p$-contractivity of Laguerre semigroups

Details On $L^p$-contractivity of Laguerre semigroups On $L^p$-contractivity of Laguerre semigroups

2010-11-24

arxiv.org/abs/1011.5437v1

Mathematics

Classical Analysis and ODEs

16 pages

Scientific paper

We study several Laguerre semigroups appearing in the literature and find
sharp ranges of type parameters for which these semigroups are contractive on
all $L^p$ spaces, $1\le p \le \infty$. We also answer a similar question for
Bessel semigroups, which in a sense are closely related to the Laguerre
semigroups.

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