Equivalent norms for polynomials on the sphere
arXiv:math/0703588 · doi:10.1093/imrn/rnm154
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.
14 pages, 1 figure