We prove pointwise bounds for two-parameter families of Jacobi polynomials. Our bounds imply estimates for a class of functions arising from the spectral analysis of distinguished Laplacians and sub-Laplacians on the unit sphere in arbitrary dimension, and are instrumental in the proof of sharp multiplier theorems for those operators.
Uniform pointwise estimates for ultraspherical polynomials
VALENTINA CASARINO
Membro del Collaboration Group
;PAOLO CIATTIMembro del Collaboration Group
;ALESSIO MARTINIMembro del Collaboration Group
2021
Abstract
We prove pointwise bounds for two-parameter families of Jacobi polynomials. Our bounds imply estimates for a class of functions arising from the spectral analysis of distinguished Laplacians and sub-Laplacians on the unit sphere in arbitrary dimension, and are instrumental in the proof of sharp multiplier theorems for those operators.File in questo prodotto:
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