The multi-dimensional pencil phenomenon for Laguerre heat-diffusion maximal operators

Mathematics – Classical Analysis and ODEs

Scientific paper

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30 pages with 1 figure. This paper was published as Preprint 2007:35, Department of Mathematical Sciences, Chalmers University

Scientific paper

We investigate in detail the mapping properties of the maximal operator
associated with the heat-diffusion semigroup corresponding to expansions with
respect to multi-dimensional standard Laguerre functions.

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