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arXiv · 1011.0898

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

Tomasz Szarek
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Abstract

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 $L^p$, $1<p<\infty$, and from $L^1$ into weak $L^1$.

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Tomasz Szarek. 2010-11-03. On Lusin's area integrals and g-functions in certain Dunkl and Laguerre settings. https://arxiv.org/abs/1011.0898

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