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:
| File | Dimensione | Formato | |
|---|---|---|---|
|
hyperspherical.pdf
accesso aperto
Descrizione: Articolo principale
Tipologia:
Accepted (AAM - Author's Accepted Manuscript)
Licenza:
Accesso libero
Dimensione
293.53 kB
Formato
Adobe PDF
|
293.53 kB | Adobe PDF | Visualizza/Apri |
|
CRMATH_2021__359_10_1239_0.pdf
accesso aperto
Tipologia:
Published (Publisher's Version of Record)
Licenza:
Creative commons
Dimensione
683.88 kB
Formato
Adobe PDF
|
683.88 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
