Weak Type Estimates for Cesaro Sums of Jacobi Polynomial Series (Memoirs of the American Mathematical Society) - Softcover

Chanillo, Sagun; Muckenhoupt, Benjamin

Softcover

ISBN 10: 0821825488 ISBN 13: 9780821825488

Verlag: American Mathematical Society, 1993

Inhaltsangabe

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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Reseña del editor

This work completely characterizes the behaviour 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.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 1993
• Sprache: Englisch
• ISBN 10: 0821825488
• ISBN 13: 9780821825488
• Einband: Tapa blanda
• Anzahl der Seiten: 90
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar