I. Sihwaningrum, Y. Sawano, “Weak and strong type estimates for fractional integral operators on Morrey spaces over metric measure spaces”, Eurasian Math. J., 2013, Volume 4, Number 1,Pages <nobr>76

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

I. Sihwaningrum^a, Y. Sawano^b

^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.

MSC: 42B20, 26A33, 47B38, 47G10

Received: 15.11.2012

Language: English