On the Continuity of Pseudo-Differential Operators on Multiplier Spaces Associated to Herz-type Triebel-Lizorkin Spaces

被引:4
|
作者
Djeriou, Aissa [1 ]
Drihem, Douadi [1 ]
机构
[1] Msila Univ, Lab Funct Anal & Geometry Spaces, Dept Math, POB 166, Msila 28000, Algeria
关键词
Herz space; Besov space; Triebel-Lizorkin spase; embeddings; pseudo-differential operators; BESOV; INTERPOLATION; DISTRIBUTIONS; DECOMPOSITION;
D O I
10.1007/s00009-019-1418-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, for a certain range of parameters, we prove that there exist symbols in the Hormander class S1,00 which do not define bounded operators on M(Kq alpha,pF beta s). To do these, we need the characterization of Herz-Besov spaces by ball means of differences and some properties of pointwise multipliers for Herz-Triebel-Lizorkin spaces.
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页数:25
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