Dual spaces of local Morrey-type spaces

In this paper we show that associated spaces and dual spaces of the local Morrey-type spaces are so called complementary local Morrey-type spaces. Our method is based on an application of multidimensional reverse Hardy inequalities.

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Bibliographic Details
Published in:Czechoslovak mathematical journal 2011-09, Vol.61 (3), p.609-622
Main Authors: Gogatishvili, Amiran, Mustafayev, Rza
Format: Article
Language:English
Subjects:
Analysis
Convex and Discrete Geometry
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
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Description
Summary:In this paper we show that associated spaces and dual spaces of the local Morrey-type spaces are so called complementary local Morrey-type spaces. Our method is based on an application of multidimensional reverse Hardy inequalities.
ISSN:0011-4642
1572-9141
DOI:10.1007/s10587-011-0034-x