Equivalent norms for polynomials on the sphere
Classical Analysis and ODEs
2024-10-18 v1
Abstract
We study comparison of Lp norms of polynomials on the sphere with respect to doubling measures. From our description it follows an uncertainty principle for square integrable functions on the sphere. We consider also weighted uniform versions of this result.
Cite
@article{arxiv.math/0703588,
title = {Equivalent norms for polynomials on the sphere},
author = {Jordi Marzo and Joaquim Ortega-Cerdà},
journal= {arXiv preprint arXiv:math/0703588},
year = {2024}
}
Comments
14 pages, 1 figure