曹勇辉, 周疆. 加权摩尔型Besov-Triebel空间与拟微分算子[J]. 云南大学学报(自然科学版), 2009, 31(6): 552-559 .
引用本文: 曹勇辉, 周疆. 加权摩尔型Besov-Triebel空间与拟微分算子[J]. 云南大学学报(自然科学版), 2009, 31(6): 552-559 .
Weighted Morrey type Besov-Triebel spaces and pseudo-differential operators[J]. Journal of Yunnan University: Natural Sciences Edition, 2009, 31(6): 552-559 .
Citation: Weighted Morrey type Besov-Triebel spaces and pseudo-differential operators[J]. Journal of Yunnan University: Natural Sciences Edition, 2009, 31(6): 552-559 .

加权摩尔型Besov-Triebel空间与拟微分算子

Weighted Morrey type Besov-Triebel spaces and pseudo-differential operators

  • 摘要: 定义了加权的摩尔型Besov与Triebel-Lizorkin空间,获得了一些空间的基本性质;并且通过空间的离散特征刻画,得到了经典的拟微分算子在这类空间上是有界的.

     

    Abstract: It is firstly defined that weighted Morrey type Besovand Lizorkin-Triebel spaces and some basic properties are given;then discrete characterization for the weighted Morrey-type Besov-Triebel spaces are studied and it is shown that pseudo-differential operators are bounded on these spaces by using discrete characterization.

     

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