Displaying similar documents to “Generating functions for the mean value of a function on a sphere and its associated ball in n .”

Multidimensional Opial inequalities for functions vanishing at an interior point

George A. Anastassiou, Gisèle Ruiz Goldstein, Jerome A. Goldstein (2004)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni


In this paper we generalize Opial inequalities in the multidimensional case over balls. The inequalities carry weights and are proved to be sharp. The functions under consideration vanish at the center of the ball.