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Eurasian Math. J., 2013, Volume 4, Number 1, Pages 76–81 (Mi emj116)  

This article is cited in 7 scientific papers (total in 7 papers)

Weak and strong type estimates for fractional integral operators on Morrey spaces over metric measure spaces

I. Sihwaningruma, Y. Sawanob

a Faculty of Sciences and Engineering, Jenderal Soedirman University, Purwokerto, Indonesia
b Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Tokyo, Japan

Abstract: We discuss here a weak and strong type estimate for fractional integral operators on Morrey spaces over metric measure spaces, where the underlying measure does not always satisfy the doubling condition.

Keywords and phrases: Weak type estimates, fractional integral operators, Morrey spaces, non-doubling measure.

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Document Type: Article
MSC: 42B20, 26A33, 47B38, 47G10
Received: 15.11.2012
Language: English

Citation: I. Sihwaningrum, Y. Sawano, “Weak and strong type estimates for fractional integral operators on Morrey spaces over metric measure spaces”, Eurasian Math. J., 4:1 (2013), 76–81

Citation in format AMSBIB
\Bibitem{SihSaw13}
\by I.~Sihwaningrum, Y.~Sawano
\paper Weak and strong type estimates for fractional integral operators on Morrey spaces over metric measure spaces
\jour Eurasian Math. J.
\yr 2013
\vol 4
\issue 1
\pages 76--81
\mathnet{http://mi.mathnet.ru/emj116}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3118893}
\zmath{https://zbmath.org/?q=an:1277.42019}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Cao Yonghui, Zhou Jiang, “Morrey Spaces For Nonhomogeneous Metric Measure Spaces”, Abstract Appl. Anal., 2013, 196459  crossref  mathscinet  zmath  isi  scopus
    2. Stempak K., Tao X., “Local Morrey and Campanato Spaces on Quasimetric Measure Spaces”, J. Funct. space, 2014, 172486  crossref  mathscinet  zmath  isi  scopus
    3. Lu G., Tao Sh., “Boundedness of Commutators of Marcinkiewicz Integrals on Nonhomogeneous Metric Measure Spaces”, J. Funct. space, 2015, 548165  crossref  mathscinet  zmath  isi  scopus
    4. C. Zhuo, Y. Sawano, D. Yang, “Hardy spaces with variable exponents on RD-spaces and applications”, Diss. Math., 2016, no. 520, 1–74  crossref  mathscinet  zmath  isi  scopus
    5. G. Lu, Sh. Tao, “Generalized Morrey spaces over nonhomogeneous metric measure spaces”, J. Aust. Math. Soc., 103:2 (2017), 268–278  crossref  isi
    6. Sihwaningrum I., Gunawan H., Nakai E., “Maximal and Fractional Integral Operators on Generalized Morrey Spaces Over Metric Measure Spaces”, Math. Nachr., 291:8-9 (2018), 1400–1417  crossref  mathscinet  zmath  isi  scopus
    7. Sawano Y., Shimomura T., Tanaka H., “A Remark on Modified Morrey Spaces on Metric Measure Spaces”, Hokkaido Math. J., 47:1 (2018), 1–15  crossref  mathscinet  zmath  isi
  • Eurasian Mathematical Journal
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