ENGLISH

Weak Type Estimates for Cesaro Sums of Jacobi Polynomial Series

By Sagun Chanillo , Benjamin Muckenhoupt

Book information

Publisher
Amer Mathematical Society
Year
1993
ISBN
0821825488, 9780821825488
Language
english
Format
PDF
Filesize
6 MB (6644560 bytes)
Series
Memoirs of the American Mathematical Society
Pages
90\105
DPI
600
Orientation
yes
Scanned
yes
Time added
2014-09-08 01:47:15

Description

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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