On Lusin's area integrals and g-functions in certain Dunkl and Laguerre settings

Details On Lusin's area integrals and g-functions in certain Dunkl and Laguerre settings On Lusin's area integrals and g-functions in certain Dunkl and Laguerre settings

2010-11-03

arxiv.org/abs/1011.0898v1

Mathematics

Classical Analysis and ODEs

30 pages

Scientific paper

We investigate $g$-functions and Lusin's area type integrals related to
certain multi-dimensional Dunkl and Laguerre settings. We prove that the
considered square functions are bounded on weighted $L^p$, $1from $L^1$ into weak $L^1$.

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