Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions

We prove two-weight norm inequalities for Cesàro means of generalized Hermite polynomial series and for the supremum of these means. A result about weak boundedness and an almost everywhere convergence result are also obtained.

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Bibliographic Details
Published in:	Journal of computational and applied mathematics Vol. 178; no. 1; pp. 99 - 110
Main Authors:	Ciaurri, Óscar, Varona, Juan L.
Format:	Journal Article Conference Proceeding
Language:	English
Published:	Amsterdam Elsevier B.V 01-06-2005 Elsevier
Subjects:	Cesàro means Exact sciences and technology Fourier analysis Generalized Hermite expansions Generalized Hermite polynomials Hermite expansions Hermite polynomials Mathematical analysis Mathematics Nørlund means Sciences and techniques of general use two-weight norm inequalities Weighted norm inequalities Generalized Hermite expansions primary 42C10 Cesàro means Generalized Hermite polynomials Weighted norm inequalities two-weight norm inequalities Hermite expansions Hermite polynomials Nørlund means Hermite polynomial Norm inequality Convergence Numerical analysis Applied mathematics Cezaro mean Norlund mean
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Description
Summary:	We prove two-weight norm inequalities for Cesàro means of generalized Hermite polynomial series and for the supremum of these means. A result about weak boundedness and an almost everywhere convergence result are also obtained.
Bibliography:	SourceType-Scholarly Journals-2 ObjectType-Feature-2 ObjectType-Conference Paper-1 content type line 23 SourceType-Conference Papers & Proceedings-1 ObjectType-Article-3 ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1
ISSN:	0377-0427 1879-1778
DOI:	10.1016/j.cam.2004.03.027