Weak Type Estimates for Cesaro Sums of Jacobi Polynomial Series

Erscheinungsjahr 1993
ISBN: 978-0-8218-2548-8
Verlag: American Mathematical Society

Buch, Englisch, 90 Seiten, Format (B × H): 180 mm x 255 mm, Gewicht: 198 g

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.

Autoren/Hrsg.

Chanillo, Sagun

Muckenhoupt, Benjamin

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra