Marcinkiewicz-Zygmund inequalities and interpolation by spherical harmonics
Functional Analysis
2009-08-26 v1 Complex Variables
Abstract
We find necessary density conditions for Marcinkiewicz-Zygmund inequalities and interpolation for spaces of spherical harmonics with respect to the L^p norm. Moreover, we prove that there are no complete interpolation families for p\neq 2.
Keywords
Cite
@article{arxiv.math/0611503,
title = {Marcinkiewicz-Zygmund inequalities and interpolation by spherical harmonics},
author = {Jordi Marzo},
journal= {arXiv preprint arXiv:math/0611503},
year = {2009}
}