Harmonic analysis operators related to symmetrized Jacobi expansions
Classical Analysis and ODEs
2014-10-27 v1
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.
Keywords
Cite
@article{arxiv.1210.1342,
title = {Harmonic analysis operators related to symmetrized Jacobi expansions},
author = {Bartosz Langowski},
journal= {arXiv preprint arXiv:1210.1342},
year = {2014}
}
Comments
30 pages. arXiv admin note: text overlap with arXiv:1011.3615, arXiv:1011.0898, arXiv:1012.5638 by other authors