SPHERICAL SUMMABILITY AND A VECTOR-VALUED INEQUALITY

被引:3
作者
SATO, S
机构
[1] Department of Mathematics, Kanazawa University, Kanazawa
关键词
D O I
10.1112/blms/27.1.58
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a vector-valued weak type (1, 1) inequality for the Bochner-Riesz means of the critical order. © 1995 Oxford University Press.
引用
收藏
页码:58 / 64
页数:7
相关论文
共 17 条
[1]   OSCILLATORY INTEGRALS AND A MULTIPLIER PROBLEM FOR DISK [J].
CARLESON, L ;
SJOLIN, P .
STUDIA MATHEMATICA, 1972, 44 (03) :287-&
[2]   WEAK (1,1) BOUNDS FOR OSCILLATORY SINGULAR-INTEGRALS [J].
CHANILLO, S ;
CHRIST, M .
DUKE MATHEMATICAL JOURNAL, 1987, 55 (01) :141-155
[3]   THE WEAK TYPE-L1 CONVERGENCE OF EIGENFUNCTION-EXPANSIONS FOR PSEUDODIFFERENTIAL-OPERATORS [J].
CHRIST, FM ;
SOGGE, CD .
INVENTIONES MATHEMATICAE, 1988, 94 (02) :421-453
[4]  
CHRIST FM, 1988, INVENT MATH, V93, P225
[5]   WEAK TYPE (1, 1) BOUNDS FOR ROUGH OPERATORS [J].
CHRIST, M .
ANNALS OF MATHEMATICS, 1988, 128 (01) :19-42
[6]  
Christ M., 1987, REV MAT IBEROAM, V3, P25
[7]   SPHERICAL SUMMATION MULTIPLIERS [J].
FEFFERMAN, C .
ISRAEL JOURNAL OF MATHEMATICS, 1973, 15 (01) :44-52
[8]   ON THE LITTLEWOOD-PALEY AND MARCINKIEWICZ FUNCTIONS IN HIGHER DIMENSIONS [J].
KANEKO, M ;
SUNOUCHI, G .
TOHOKU MATHEMATICAL JOURNAL, 1985, 37 (03) :343-365
[9]  
KORNER TW, 1981, C MATH, V45, P103, DOI 10.4064/cm-45-1-103-118
[10]  
Lu S, 1982, LECT NOTES MATH, V908, P311