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

2010/11/03 by Tomasz Szarek · 1 citation
Mathematics · #math.CA #msc:42C10 #msc:42B25 #msc:42B20

paper · pdf

published as Math. Nachr. 285 (2012), 1517-1542 · 30 pages

arxiv created 2010/11/03 · arxiv updated 2012/11/15

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<∞, and from L¹ into weak L¹.

Cited by

• Harmonic analysis operators related to symmetrized Jacobi expansions

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