COMPLEX INTERPOLATION FOR PREDUAL SPACES OF MORREY-TYPE SPACES

In this paper, the author introduces the inhomogeneous Hausdorff type Besov and Triebel-Lizorkin spaces, which are the predual spaces of Besov-Morrey and Triebel-Lizorkin-Morrey spaces. By calculating the Calderón product of the sequence spaces related to Hausdorff type Besov and Triebel-Lizorkin sp...

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Bibliographic Details
Published inTaiwanese journal of mathematics Vol. 18; no. 5; pp. 1527 - 1548
Main Author Yuan, Wen
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.10.2014
Subjects
Abstract spaces
Grants
Interpolation
Mathematical functions
Mathematical lattices
Topological spaces
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ISSN1027-5487
2224-6851
2224-6851
DOI10.11650/tjm.18.2014.4373

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Summary:In this paper, the author introduces the inhomogeneous Hausdorff type Besov and Triebel-Lizorkin spaces, which are the predual spaces of Besov-Morrey and Triebel-Lizorkin-Morrey spaces. By calculating the Calderón product of the sequence spaces related to Hausdorff type Besov and Triebel-Lizorkin spaces, the author obtains the complex interpolation of these spaces. In particular, the complex interpolation for the predual spaces of Morrey spaces is also obtained. 2010Mathematics Subject Classification: Primary 46B70; Secondary 46E35. Key words and phrases: Besov space, Triebel-Lizorkin space, Morrey spaces, Hausdorff capacity, Complex interpolation, Calderón product, Quasi-Banach lattice.
ISSN:1027-5487
2224-6851
2224-6851
DOI:10.11650/tjm.18.2014.4373