GENERALIZED STRICHARTZ INEQUALITIES FOR THE WAVE-EQUATION

被引：442

作者：

GINIBRE, J

VELO, G

机构：

[1] Laboratoire de Physique Théorique et Hautes Energies, Université de Paris-Sud, 91405 Orsay Cedex

[2] Laboratoire associé au Centre National de la Recherche Scientifique

[3] Dipartimento di Fisica, Università di Bologna, INFN, Sezione di Bologna

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1995年 / 133卷 / 01期

关键词：

D O I：

10.1006/jfan.1995.1119

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We make a synthetic exposition of the generalized Strichartz inequalities for the wave equation obtained in [6] together with the limiting cases recently obtained in [13] with as simple proofs as possible. The proofs combine stationary phase estimates, dyadic decompositions, the Hardy-Littlewood inequality or the Holder inequality in time, and abstract duality and interpolation arguments. (C) 1995 Academic Press, Inc.

引用

页码：50 / 68

页数：19

共 23 条

[1]

[Anonymous], 1983, MONOGRAPHS MATH

[2]

Bergh J., 1976, INTERPOLATION SPACES, V223

[3] LP-LP' ESTIMATES FOR WAVE-EQUATION [J].