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

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
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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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
2. Stempak K., Tao X., “Local Morrey and Campanato Spaces on Quasimetric Measure Spaces”, J. Funct. space, 2014, 172486
3. Lu G., Tao Sh., “Boundedness of Commutators of Marcinkiewicz Integrals on Nonhomogeneous Metric Measure Spaces”, J. Funct. space, 2015, 548165
4. C. Zhuo, Y. Sawano, D. Yang, “Hardy spaces with variable exponents on RD-spaces and applications”, Diss. Math., 2016, no. 520, 1–74
5. G. Lu, Sh. Tao, “Generalized Morrey spaces over nonhomogeneous metric measure spaces”, J. Aust. Math. Soc., 103:2 (2017), 268–278
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
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
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