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Marcinkiewicz–Zygmund inequalities and interpolation by spherical harmonics

Authors:	Jordi Marzo

Affiliation:	^aDepartament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Gran via 585, 08071 Barcelona, Spain

Abstract:	We find necessary density conditions for Marcinkiewicz–Zygmund inequalities and interpolation for spaces of spherical harmonics in with respect to the L^p norm. Moreover, we prove that there are no complete interpolation families for p≠2.

Keywords:	Spherical harmonics Marcinkiewicz– Zygmund inequalities Interpolation Landau densities Ball multiplier Paley– Wiener spaces
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