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arXiv 2010-11-24 0 views

On Lᵖ-contractivity of Laguerre semigroups

Nowak, Adam · Stempak, Krzysztof

Original · EN

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

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