Interpolations of mixed-norm function spaces
type: Item
instance of: scholarly article
title: Interpolations of mixed-norm function spaces
zbMATH Open document ID: 1486.42039
author: Suqing Wu
author: Wen Yuan
author: Dachun Yang
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2022-01-06T00:00:00Z
review text: Mixed-norm Lebesgue spaces have been studied by many authors. This paper studies interpolation in mixed-norm function spaces. Some interpolation results are obtained on mixed-norm Lebesgue spaces, mixed-norm Lorentz spaces and mixed-norm Morrey spaces. These follow from the results that, under suitable conditions, these spaces are closed under the Calderon product and the \(\pm\) interpolation method. The main results are given for mixed-norm function spaces generated by quasi-Banach lattices.
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 46B70
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 46B42
zbMATH DE Number: 7453224
zbMATH Keywords: Calderón product
zbMATH Keywords: Gagliardo-Peetre method
zbMATH Keywords: \(\pm\) method
zbMATH Keywords: mixed-norm function space
zbMATH Keywords: ball quasi-Banach function space
reviewed by: K. Parthasarathy
MaRDI profile type: Publication
full work available at URL: s40840-021-01187-8
OpenAlex ID: W3197267036
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Interpolations of mixed-norm function spaces (DOI)
DOI: 10.1007/S40840-021-01187-8