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A Note on Boundedness of the Hardy–Littlewood Maximal Operator on Morrey Spaces

Authors: Gogatishvili, A.; Mustafayev, R. Ch;

A Note on Boundedness of the Hardy–Littlewood Maximal Operator on Morrey Spaces

Abstract

In this paper we prove that the Hardy-Littlewood maximal operator is bounded on Morrey spaces $\mathcal{M}_{1,��}(\rn)$, $0 \le \la < n$ for radial, decreasing functions on $\rn$

7 pages

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Keywords

Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs, Primary 42B25, Secondary 42B35, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Morrey spaces, maximal operator, Functional Analysis (math.FA)

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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