Marcinkiewicz-Zygmund inequalities and interpolation by spherical harmonics
Jordi Marzo
math.FAarXiv:math/0611503
Abstract
We find necessary density conditions for Marcinkiewicz-Zygmund inequalities and interpolation for spaces of spherical harmonics with respect to the Lp norm. Moreover, we prove that there are no complete interpolation families for p≠ 2.
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