Sublinear operators on radial rearrangement-invariant quasi-Banach function spaces

被引：4
|
作者：
Ho, K. -P. [1 ]
机构：
[1] Educ Univ Hong Kong, Dept Math & Informat Technol, Tai Po, 10 Lo Ping Rd, Hong Kong, Peoples R China
来源：
ACTA MATHEMATICA HUNGARICA | 2020年 / 160卷 / 01期
关键词：
radial function; rearrangement-invariant; quasi-Banach function space; disc multiplier; spherical mean; Bochner-Riesz mean; universal maximal operator; directional operator; FOURIER; INTERPOLATION;
D O I：
10.1007/s10474-019-00950-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper establishes the boundedness of the disc multiplier, the spherical means, the Bochner-Riesz means, the rough singular integral operators, the universal maximal operator and the directional operators on the radial subspace of rearrangement-invariant quasi-Banach function spaces.
引用
收藏
页码：88 / 100
页数：13
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