Weak Type Estimates for Cesaro Sums of Jacobi Polynomial...

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Weak Type Estimates for Cesaro Sums of Jacobi Polynomial Series

Name: Weak Type Estimates for Cesaro Sums of Jacobi Polynomial Series
ISBN: 9780821825488

Sagun Chanillo, Benjamin Muckenhoupt

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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.

వర్గాలు:

Mathematics

సంవత్సరం:

1993

ప్రచురణకర్త:

Amer Mathematical Society

భాష:

english

పేజీల సంఖ్య:

ISBN 10:

0821825488

ISBN 13: