L(P)-L(Q) ESTIMATES FOR FUNCTIONS OF THE LAPLACE-BELTRAMI OPERATOR ON NONCOMPACT SYMMETRICAL SPACES .1.

被引：48
作者：
COWLING, M
GIULINI, S
MEDA, S
机构：
[1] UNIV GENOA,DIPARTIMENTO MATEMAT,I-16132 GENOA,ITALY
[2] POLITECN MILAN,DIPARTIMENTO MATEMAT,I-20133 MILAN,ITALY
来源：
DUKE MATHEMATICAL JOURNAL | 1993年 / 72卷 / 01期
关键词：
D O I：
10.1215/S0012-7094-93-07206-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：109 / 150
页数：42
相关论文
共 35 条
[1]   MULTIPLICATORS ON CERTAIN SYMMETRICAL SPACES [J].
ANKER, JP ;
LOHOUE, N .
AMERICAN JOURNAL OF MATHEMATICS, 1986, 108 (06) :1303-1354
[2]   SHARP ESTIMATES FOR SOME FUNCTIONS OF THE LAPLACIAN ON NONCOMPACT SYMMETRICAL SPACES [J].
ANKER, JP .
DUKE MATHEMATICAL JOURNAL, 1992, 65 (02) :257-297
[3]   LP FOURIER MULTIPLIERS ON RIEMANNIAN SYMMETRICAL SPACES OF THE NONCOMPACT TYPE [J].
ANKER, JP .
ANNALS OF MATHEMATICS, 1990, 132 (03) :597-628
[4]  
Bergh J., 1976, GRUNDLEHREN MATH WIS, V223
[5]  
BOUGEROL P, 1983, ANN I H POINCARE B, V19, P369
[6]   SPHERICAL FOURIER-TRANSFORM OF SCHWARTZ SPACES [J].
CLERC, JL .
JOURNAL OF FUNCTIONAL ANALYSIS, 1980, 37 (02) :182-202
[7]   LP-MULTIPLIERS FOR NONCOMPACT SYMMETRIC SPACES [J].
CLERC, JL ;
STEIN, EM .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1974, 71 (10) :3911-3912
[8]   KUNZE-STEIN PHENOMENON [J].
COWLING, M .
ANNALS OF MATHEMATICS, 1978, 107 (02) :209-234
[9]   WEAK TYPE (1, 1) ESTIMATES FOR HEAT KERNEL MAXIMAL FUNCTIONS ON LIE-GROUPS [J].
COWLING, M ;
GAUDRY, G ;
GIULINI, S ;
MAUCERI, G .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 323 (02) :637-649
[10]   HARMONIC-ANALYSIS ON SEMIGROUPS [J].
COWLING, MG .
ANNALS OF MATHEMATICS, 1983, 117 (02) :267-283
1234