A uniform L-p estimate of Bessel functions and distributions supported on Sn-1

被引:11
作者
Guo, K
机构
关键词
D O I
10.1090/S0002-9939-97-03667-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A uniform L-p estimate of Bessel functions is obtained, which is used to get a characterization of the L-2 measures on the unit sphere of R-n in terms of the mixed L-p norm of the Fourier transform of the measures.
引用
收藏
页码:1329 / 1340
页数:12
相关论文
共 13 条
[1]   ASYMPTOTIC PROPERTIES OF SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH SIMPLE CHARACTERISTICS [J].
AGMON, S ;
HORMANDER, L .
JOURNAL D ANALYSE MATHEMATIQUE, 1976, 30 :1-38
[2]  
[Anonymous], HARMONIC ANAL
[4]   LOWER BOUNDS AT INFINITY FOR SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS [J].
HORMANDER, L .
ISRAEL JOURNAL OF MATHEMATICS, 1973, 16 (01) :103-116
[5]  
Hormander L., 1990, Distribution theory and Fourier analysis, VI
[6]  
HUNT RA, 1966, ENSEIGN MATH, V12, P248
[7]   UNIFORM SOBOLEV INEQUALITIES AND UNIQUE CONTINUATION FOR 2ND-ORDER CONSTANT COEFFICIENT DIFFERENTIAL-OPERATORS [J].
KENIG, CE ;
RUIZ, A ;
SOGGE, CD .
DUKE MATHEMATICAL JOURNAL, 1987, 55 (02) :329-347
[8]  
Littman W., 1963, Bull. Amer. Math. Soc., V69, P766
[9]  
SCHWARTZ L, 1948, CR HEBD ACAD SCI, V227, P424
[10]  
SOGGE CD, 1993, FOURIER INTEGRALS CL