Pseudo-differential operators of class S0,0m on the Herz-type spaces

被引:1
作者
Tsutsui, Yohei [1 ]
机构
[1] Osaka Univ, Grad Sch Sci, Dept Math, Osaka 5600043, Japan
关键词
Pseudo-differential operators; Herz spaces; Herz-type Hardy spaces; HARDY-SPACES; COMPLEX INTERPOLATION; FOURIER-TRANSFORMS; BANACH-SPACES; BOUNDEDNESS; FAMILIES; THEOREM;
D O I
10.14492/hokmj/1248190079
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we show the boundedness of pseudo-differential operators of class S-0,0(m) on the Herz spaces (K)over dot(q)(alpha,p) and the Herz-type Hardy spaces H (K)over dot(q)(alpha,p).
引用
收藏
页码:283 / 302
页数:20
相关论文
共 26 条
[1]  
[Anonymous], 1976, GRUNDLEHREN MATH WIS
[2]  
BAERNSTEIN A, 1985, MEM AM MATH SOC, V59
[3]  
Beurling A., 1964, Ann. Inst. Fourier, V14, P1, DOI [10.5802/aif.172, DOI 10.5802/AIF.172]
[4]  
CALDERON AP, 1971, J MATH SOC JPN, V23, P374
[5]  
Coifman R., 1979, P S PURE MATH 2, VXXXV, P269
[6]   A THEORY OF COMPLEX INTERPOLATION FOR FAMILIES OF BANACH-SPACES [J].
COIFMAN, RR ;
CWIKEL, M ;
ROCHBERG, R ;
SAGHER, Y ;
WEISS, G .
ADVANCES IN MATHEMATICS, 1982, 43 (03) :203-229
[7]  
Duren P., 1970, THEORY H SPACES
[8]  
FAN D, 1997, APPROX THEORY APPL, V13, P19
[9]  
FEIGHTINGER HG, 1987, S MATH, V29, P264
[10]  
FLETT TM, 1974, P LOND MATH SOC, V29, P538