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Interpolation of Morrey Spaces on Metric Measure Spaces

Published online by Cambridge University Press:  20 November 2018

Yufeng Lu ,
Dachun Yang  and
Wen Yuan
Yufeng Lu
Affiliation:
School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People-s Republic of China e-mail: yufeng.lu@mail.bnu.edu.cndcyang@bnu.edu.cn
Dachun Yang
Affiliation:
School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People-s Republic of China e-mail: yufeng.lu@mail.bnu.edu.cndcyang@bnu.edu.cn
Wen Yuan
Affiliation:
School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People's Republic of China and Mathematisches Institut, Friedrich-Schiller-Universität Jena, Jena 07743, Germany e-mail: wenyuan@bnu.edu.cn
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Abstract

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In this article, via the classical complex interpolation method and some interpolation methods traced to Gagliardo, the authors obtain an interpolation theorem for Morrey spaces on quasimetric measure spaces, which generalizes some known results on ${{\mathbb{R}}^{n}}$.

Keywords

46B7046E30complex interpolationMorrey spaceGagliardo interpolationCalderón productquasimetric measure space
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 3 , 01 September 2014 , pp. 598 - 608
Copyright
Copyright © Canadian Mathematical Society 2014

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