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

preprint2010arXivOpen access

Abstract

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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