Modular interpolation and modular estimates of the Fourier transform and related operators

被引：5

作者：

Ho, Kwok-Pun ^{[1
]}

机构：

[1] Educ Univ Hong Kong, Dept Math & Informat Technol, 10 Lo Ping Rd, Tai Po, Hong Kong, Peoples R China

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2017年 / 28卷 / 02期

关键词：

Modular inequality; Fourier transform; interpolation; Hankel transform; oscillatory integrals; Fourier restriction; FUNCTION-SPACES; INEQUALITIES; INTEGRALS;

D O I：

10.4171/RLM/767

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce an approach to modular interpolation in this paper. By using this interpolation, we establish the modular inequalities for the Fourier transform, the Laplace transform, the Hankel transform and the oscillatory integral operators. Moreover, we also obtain the modular Fourier restriction theorem.

引用

页码：349 / 368

页数：20

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