Marcinkiewicz-Zygmund inequalities and interpolation by spherical harmonics

Details Marcinkiewicz-Zygmund inequalities and interpolation by spherical harmonics Marcinkiewicz-Zygmund inequalities and interpolation by spherical harmonics

2006-11-16

arxiv.org/abs/math/0611503v1

J. Funct. Anal. 250 no. 2 (2007) 559-87

Mathematics

Functional Analysis

Scientific paper

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.

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