FOURIER-TRANSFORM INEQUALITIES WITH MEASURE WEIGHTS

被引：10

作者：

BENEDETTO, JJ

HEINIG, H

机构：

[1] UNIV MARYLAND,SYST RES CTR,COLL PK,MD 20742

[2] MCMASTER UNIV,DEPT MATH,HAMILTON L8S 4L8,ONTARIO,CANADA

来源：

ADVANCES IN MATHEMATICS | 1992年 / 96卷 / 02期

基金：

美国国家科学基金会; 加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/0001-8708(92)90055-P

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fourier transform norm inequalities, ∥ f ̂∥q,μ <- C ∥f∥p,υ, are proved for measure weights μ on moment subspaces of Lpυ(Rn). Density theorems are established to extend the inequalities to all of Lpυ(Rn). In both cases the conditions for validity are computable. For n ≥ 2, μ and υ are radial, and the results are applied to prove spherical restriction theorems which include power weights υ(t) = = ∥t∥α, n (p′ - 1) < α < (p′ + n) (p′ - 1). © 1992.

引用

页码：194 / 225

页数：32

共 25 条

[1] WEIGHTED WEAK TYPE HARDY INEQUALITIES WITH APPLICATIONS TO HILBERT-TRANSFORMS AND MAXIMAL FUNCTIONS [J].