CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Interpolation of Morrey Spaces on Metric Measure Spaces

  Published:2013-06-21
 Printed: Sep 2014
  • Yufeng Lu,
    School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People's Republic of China
  • Dachun Yang,
    School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People's Republic of China
  • Wen Yuan,
    School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, People's Republic of China
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   LaTeX   MathJax  

Abstract

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 quasi-metric measure spaces, which generalizes some known results on ${\mathbb R}^n$.
Keywords: complex interpolation, Morrey space, Gagliardo interpolation, Calderón product, quasi-metric measure space complex interpolation, Morrey space, Gagliardo interpolation, Calderón product, quasi-metric measure space
MSC Classifications: 46B70, 46E30 show english descriptions Interpolation between normed linear spaces [See also 46M35]
Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Kothe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46B70 - Interpolation between normed linear spaces [See also 46M35]
46E30 - Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Kothe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/