Equivalent norms for polynomials on the sphere

Details Equivalent norms for polynomials on the sphere Equivalent norms for polynomials on the sphere

2007-03-20

arxiv.org/abs/math/0703588v1

Int. Math. Res. Not. IMRN, no. 1, Art. ID rnm154 (2008) 18 pp.

Mathematics

Classical Analysis and ODEs

14 pages, 1 figure

Scientific paper

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.

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