Marcinkiewicz-Zygmund inequalities and interpolation by spherical harmonics

被引：23
|
作者：
Marzo, Jordi [1 ]
机构：
[1] Univ Barcelona, Dept Matemat Aplicada & Anal, Barcelona 08071, Spain
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2007年 / 250卷 / 02期
关键词：
spherical harmonics; Marcinkiewicz-Zygmund inequalities; interpolation; Landau densities; ball multiplier; Paley-Wiener spaces;
D O I：
10.1016/j.jfa.2007.05.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We find necessary density conditions for Marcinkiewicz-Zygmund inequalities and interpolation for spaces of spherical harmonics in S-d with respect to the L-p norm. Moreover, we prove that there are no complete interpolation families for p not equal 2. (C) 2007 Elsevier Inc. All rights reserved.
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页码：559 / 587
页数：29
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