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

页码：88 / 100

页数：13

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