Radial multipliers and restriction to surfaces of the Fourier transform in mixed-norm spaces

被引：10

作者：

Cordoba, Antonio ^{[1
]}

Latorre Crespo, Eric ^{[1
]}

机构：

[1] Univ Autonoma Madrid, Dept Matemat, Inst Ciencias Matemat, CSIC,UC3M,UCM, E-28049 Madrid, Spain

来源：

MATHEMATISCHE ZEITSCHRIFT | 2017年 / 286卷 / 3-4期

关键词：

WEIGHTS; INEQUALITIES;

D O I：

10.1007/s00209-016-1810-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we revisit some classical conjectures in harmonic analysis in the setting of mixed norm spaces (LradLang2)-L-p(R-n). We produce sharp bounds for the restriction of the Fourier transform to compact hypersurfaces of revolution in the mixed norm setting and study an extension of the disc multiplier. We also present some results for the discrete restriction conjecture and state an intriguing open problem.

引用

页码：1479 / 1493

页数：15

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