Generalized Morrey spaces and trace operator

The theory of generalized Besov-Morrey spaces and generalized Triebel-Lizorkin-Morrey spaces is developed. Generalized Morrey spaces, which Mizuhara and Nakai proposed, are equipped with a parameter and a function. The trace property is one of the main focuses of the present paper, which will clarif...

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Bibliographic Details
Published inScience China. Mathematics Vol. 59; no. 2; pp. 281 - 336
Main Authors Nakamura, Shohei, Noi, Takahiro, Sawano, Yoshihiro
Format Journal Article
LanguageEnglish
Published Beijing Science China Press 01.02.2016
Subjects
Applications of Mathematics
China
Decomposition
Function space
Functions (mathematics)
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators (mathematics)
功能空间
原子分解
广义Morrey空间
空间参数
空间理论
跟踪性能
迹算子
42B35
decomposition
trace operator
Morrey space
41A17
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ISSN1674-7283
1869-1862
DOI10.1007/s11425-015-5096-z

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Summary:The theory of generalized Besov-Morrey spaces and generalized Triebel-Lizorkin-Morrey spaces is developed. Generalized Morrey spaces, which Mizuhara and Nakai proposed, are equipped with a parameter and a function. The trace property is one of the main focuses of the present paper, which will clarify the role of the parameter of generalized Morrey spaces. The quarkonial decomposition is obtained as an application of the atomic decomposition. In the end, the relation between the function spaces dealt in the present paper and the foregoing researches is discussed.
Bibliography:Morrey space, trace operator, decomposition
The theory of generalized Besov-Morrey spaces and generalized Triebel-Lizorkin-Morrey spaces is developed. Generalized Morrey spaces, which Mizuhara and Nakai proposed, are equipped with a parameter and a function. The trace property is one of the main focuses of the present paper, which will clarify the role of the parameter of generalized Morrey spaces. The quarkonial decomposition is obtained as an application of the atomic decomposition. In the end, the relation between the function spaces dealt in the present paper and the foregoing researches is discussed.
11-5837/O1
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-015-5096-z