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2014 COMPLEX INTERPOLATION FOR PREDUAL SPACES OF MORREY-TYPE SPACES
Wen Yuan
Taiwanese J. Math. 18(5): 1527-1548 (2014). DOI: 10.11650/tjm.18.2014.4373

Abstract

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.

Citation

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Wen Yuan. "COMPLEX INTERPOLATION FOR PREDUAL SPACES OF MORREY-TYPE SPACES." Taiwanese J. Math. 18 (5) 1527 - 1548, 2014. https://doi.org/10.11650/tjm.18.2014.4373

Information

Published: 2014
First available in Project Euclid: 10 July 2017

zbMATH: 1357.46018
MathSciNet: MR3265075
Digital Object Identifier: 10.11650/tjm.18.2014.4373

Subjects:
Primary: 46B70
Secondary: 46E35

Keywords: Besov space , Calderón product , Complex interpolation , Hausdorff capacity , Morrey spaces , quasi-Banach lattice , Triebel-Lizorkin space

Rights: Copyright © 2014 The Mathematical Society of the Republic of China

Vol.18 • No. 5 • 2014
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