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

Published 3 Nov 2010 in math.CA | (1011.0898v1)

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

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