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Eurasian Mathematical Journal, 2011, Volume 2, Number 2, Pages 134–138 (Mi emj57)  
This article is cited in 3 scientific papers (total in 3 papers)

Short communications

On a theorem of Muchenhoupt–Wheeden in generalized Morrey spaces

A. Gogatishvilia, R. Mustafayevb

a Institute of Mathematics, Academy of Sciences of the Czech Republic, Prague, Czech Republic
b Institute of Mathematics and Mechanics, Academy of Sciences of Azerbaijan, Baku, Azerbaijan
Full-text PDF (365 kB) Citations (3)
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Abstract: In this paper we find a condition on a function $w$ which ensures the equivalence of norms of the Riesz potential and the fractional maximal function in generalized Morrey spaces $\mathcal M_{p,w}(\mathbb R^n)$.
Keywords and phrases: generalized Morrey spaces, Riesz potential, fractional maximal operator.
Received: 01.06.2011
Bibliographic databases:
Document Type: Article
MSC: 42B25, 42B35, 46E30
Language: English
Citation: A. Gogatishvili, R. Mustafayev, “On a theorem of Muchenhoupt–Wheeden in generalized Morrey spaces”, Eurasian Math. J., 2:2 (2011), 134–138
Citation in format AMSBIB
\Bibitem{GogMus11}
\by A.~Gogatishvili, R.~Mustafayev
\paper On a~theorem of Muchenhoupt--Wheeden in generalized Morrey spaces
\jour Eurasian Math. J.
\yr 2011
\vol 2
\issue 2
\pages 134--138
\mathnet{http://mi.mathnet.ru/emj57}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2910836}
\zmath{https://zbmath.org/?q=an:1250.42072}
Linking options:
  • https://www.mathnet.ru/eng/emj57
  • https://www.mathnet.ru/eng/emj/v2/i2/p134
    • This publication is cited in the following articles:
    1. V. S. Guliyev, “Generalized weighted Morrey spaces and higher order commutators of sublinear operators”, Eurasian Math. J., 3:3 (2012), 33–61  mathnet  mathscinet  zmath
    2. Sawano Y., “a Thought on Generalized Morrey Spaces”, J. Indones. Math. Soc., 25:3 (2019), 210–281  crossref  mathscinet  isi
    3. Kucukaslan A., “Equivalence of Norms of the Generalized Fractional Integral Operator and the Generalized Fractional Maximal Operator on the Generalized Weighted Morrey Spaces”, Ann. Funct. Anal., 11:4 (2020), 1007–1026  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :139
    References:57
     
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