A Hardy Inequality for Ultraspherical Expansions with an Application to the Sphere期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A Hardy Inequality for Ultraspherical Expansions with an Application to the Sphere

Authors:	Alberto?Arenas author-information" > author-information__contact u-icon-before" > mailto:alarenas@unirioja.es" title=" alarenas@unirioja.es" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,óscar?Ciaurri,Edgar?Labarga

Affiliation:	1.Departamento de Matemáticas y Computación,Universidad de La Rioja, Complejo Científico-Tecnológico,Logro?o,Spain

Abstract:	We prove a Hardy inequality for ultraspherical expansions by using a proper ground state representation. From this result we deduce some uncertainty principles for this kind of expansions. Our result also implies a Hardy inequality on spheres with a potential having a double singularity.

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