Littlewood-Paley-Stein type square functions based on Laguerre semigroups

Details Littlewood-Paley-Stein type square functions based on Laguerre semigroups Littlewood-Paley-Stein type square functions based on Laguerre semigroups

2010-01-20

arxiv.org/abs/1001.3579v2

Mathematics

Classical Analysis and ODEs

30 pages

Scientific paper

We investigate g-functions based on semigroups related to multi-dimensional
Laguerre function expansions of convolution type. We prove that these operators
can be viewed as Calderon-Zygmund operators in the sense of the underlying
space of homogeneous type, hence their mapping properties follow from the
general theory.

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