Article ID Journal Published Year Pages File Type
4591981 Journal of Functional Analysis 2007 29 Pages PDF
Abstract

We find necessary density conditions for Marcinkiewicz–Zygmund inequalities and interpolation for spaces of spherical harmonics in Sd with respect to the Lp norm. Moreover, we prove that there are no complete interpolation families for p≠2.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory