Weak Type Estimates for Cesaro Sums of Jacobi Polynomial Series - Couverture souple

Chanillo, Sagun; Muckenhoupt, Benjamin

 
9780821825488: Weak Type Estimates for Cesaro Sums of Jacobi Polynomial Series
Couverture souple
ISBN 10 : 0821825488 ISBN 13 : 9780821825488
Editeur : American Mathematical Society, 1993

Synopsis

This work completely characterizes the behavior of Cesaro means of any order of the Jacobi polynomials. In particular, pointwise estimates are derived for the Cesaro mean kernel. Complete answers are given for the convergence almost everywhere of partial sums of Cesaro means of functions belonging to the critical $L^p$ spaces. This characterization is deduced from weak type estimates for the maximal partial sum operator. The methods used are fairly general and should apply to other series of special functions.

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Éditeur
American Mathematical Society
Date d'édition
1993
Langue
anglais
ISBN 10 
0821825488
ISBN 13 
9780821825488
Reliure
Broché
Nombre de pages
90
Coordonnées du fabricant
non disponible
Personne responsable
non disponible