Littlewood-Paley-Stein type square functions based on Laguerre semigroups
Classical Analysis and ODEs
2012-11-15 v2
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.
Cite
@article{arxiv.1001.3579,
title = {Littlewood-Paley-Stein type square functions based on Laguerre semigroups},
author = {Tomasz Szarek},
journal= {arXiv preprint arXiv:1001.3579},
year = {2012}
}
Comments
30 pages