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Harmonic analysis operators related to symmetrized Jacobi expansions

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Abstract

Following a symmetrization procedure proposed recently by Nowak and Stempak, we consider the setting of symmetrized Jacobi expansions. In this framework we investigate mapping properties of several fundamental harmonic analysis operators, including Riesz transforms, Poisson semigroup maximal operator, Littlewood–Paley–Stein square functions and multipliers of Laplace and Laplace–Stieltjes transform type. Our paper delivers also some new results in the original setting of classical Jacobi expansions.

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Authors and Affiliations

  1. Institute of Mathematics and Computer Science, Wrocław University of Technology, Wyb. Wyspiańskiego 27, 50–370, Wrocław, Poland

    Bartosz Langowski

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  1. Bartosz Langowski
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Correspondence to Bartosz Langowski.

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Langowski, B. Harmonic analysis operators related to symmetrized Jacobi expansions. Acta Math Hung 140, 248–292 (2013). https://doi.org/10.1007/s10474-013-0297-9

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  • DOI: https://doi.org/10.1007/s10474-013-0297-9

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