Decompositions of local Morrey-type spaces

We develop and apply a decomposition theory for generic local Morrey-type spaces. Our result is nonsmooth decomposition, which follows from the fact that local Morrey-type spaces are isomorphic to Hardy local Morrey-type spaces in the generic case. As an application of our results, we consider the H...

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Bibliographic Details
Published in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2017-09, Vol.21 (3), p.1223-1252
Main Authors: Guliyev, Vagif S., Hasanov, Sabir G., Sawano, Yoshihiro
Format: Article
Language:English
Subjects:
Calculus of Variations and Optimal Control
Optimization
Decomposition
Econometrics
Fourier Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Potential Theory
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Summary:We develop and apply a decomposition theory for generic local Morrey-type spaces. Our result is nonsmooth decomposition, which follows from the fact that local Morrey-type spaces are isomorphic to Hardy local Morrey-type spaces in the generic case. As an application of our results, we consider the Hardy operator.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-016-0463-8