On Radial and Conical Fourier Multipliers

被引：10

作者：

Heo, Yaryong ^{[1
]}

Nazarov, Fedor ^{[1
]}

Seeger, Andreas ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2011年 / 21卷 / 01期

基金：

美国国家科学基金会; 新加坡国家研究基金会;

关键词：

Radial Fourier multipliers; Cone multiplier; Weak type estimates; CONE MULTIPLIERS; OPERATORS; SPACES; BOUNDS;

D O I：

10.1007/s12220-010-9171-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate connections between radial Fourier multipliers on R(d) and certain conical Fourier multipliers on R(d+1). As an application we obtain a new weak type endpoint bound for the Bochner-Riesz multipliers associated with the light cone in R(d+1), where d >= 4, and results on characterizations of L(p) -> L(p,nu) inequalities for convolutions with radial kernels.

引用

页码：96 / 117

页数：22

共 19 条

[1]

[Anonymous], 1983, MONOGRAPHS MATH

[2] A CONTINUOUS VERSION OF DUALITY OF H-1 WITH BMO ON THE BIDISC [J].