Interpolation of Morrey-Campanato and related smoothness spaces

We study the interpolation of Morrey-Campanato spaces and some smoothness spaces based on Morrey spaces, e. g., Besov-type and Triebel-Lizorkin-type spaces. Various interpolation methods, including the complex method, the ±-method and the Peetre-Gagliardo method, are studied in such a framework. Spe...

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Bibliographic Details
Published inScience China. Mathematics Vol. 58; no. 9; pp. 1835 - 1908
Main Authors Yuan, Wen, Sickel, Winfried, Yang, DaChun
Format Journal Article
LanguageEnglish
Published Beijing Science China Press 01.09.2015
Subjects
Applications of Mathematics
China
Interpolation
Mathematical analysis
Mathematics
Mathematics and Statistics
Morrey空间
Smoothness
Space based
光滑空间
巴拿赫
插值方法
空间插值
real and complex interpolation
Calderón product
46E35
Peetre-Gagliardo interpolation
Campanato space
Besov-type space
method of interpolation
Morrey space
Triebel-Lizorkin-type space
46B70
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ISSN1674-7283
1869-1862
DOI10.1007/s11425-015-5047-8

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Summary:We study the interpolation of Morrey-Campanato spaces and some smoothness spaces based on Morrey spaces, e. g., Besov-type and Triebel-Lizorkin-type spaces. Various interpolation methods, including the complex method, the ±-method and the Peetre-Gagliardo method, are studied in such a framework. Special emphasis is given to the quasi-Banach case and to the interpolation property.
Bibliography:We study the interpolation of Morrey-Campanato spaces and some smoothness spaces based on Morrey spaces, e. g., Besov-type and Triebel-Lizorkin-type spaces. Various interpolation methods, including the complex method, the ±-method and the Peetre-Gagliardo method, are studied in such a framework. Special emphasis is given to the quasi-Banach case and to the interpolation property.
11-5837/O1
Morrey space;Campanato space;Besov-type space;Triebel-Lizorkin-type space;real and complex interpolation;±-method of interpolati
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-015-5047-8