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Repository of the Czech Academy of Sciences
Article . 2013
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New characterization of Morrey spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013 English Publisher:L N Gumilyov Eurasian Natl Univ
Authors: Gogatishvili, A.; Mustafayev, R. Ch.;

handle: 11104/0223080 , 20.500.12587/25148

New characterization of Morrey spaces

Abstract

The research of A. Gogatishvili was partially supported by the grants 201/08/0383 and 13-14743S of the Grant Agency of the Czech Republic and RVO: 67985840. The research of R.Ch. Mustafayev was supported by the Science Development Foundation under the President of the Republic of Azerbaijan Project No. EIF-2010-1(1)-40/06-1.

Grant Agency of the Czech Republic [201/08/0383, 13-14743S]; Science Development Foundation under the President of the Republic of Azerbaijan Project [EIF-2010-1(1)-40/06-1]; [RVO: 67985840]

In this paper we prove that the norm of the Morrey space Mp, lambda is equivalent to sup {integral R-n |fg| : inf(x is an element of R)(n) integral(infinity)(0) r(p)(n-lambda) -1

L-p((B(x,r)))0 dr <= 1}.

g

Related Organizations
Keywords

complementary local Morrey-type spaces, local Morrey-type spaces; complementary local Morrey-type spaces; associate spaces; dual spaces, local Morrey-type spaces, associate spaces

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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).
BIP!Citations provided by BIP!
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).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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