Weak Type Inequalities for Fractional Integral Operators on Generalized Non-Homogeneous Morrey Spaces

Idha Sihwaningrum, Sri Maryani & H. Gunawan

doi:10.4208/ata.2012.v28.n1.8

Weak Type Inequalities for Fractional Integral Operators on Generalized Non-Homogeneous Morrey Spaces

Authors

Idha Sihwaningrum, Sri Maryani & H. Gunawan

DOI:

https://doi.org/10.4208/ata.2012.v28.n1.8

Keywords:

weak type inequality fractional integral operator, (generalized) non-homogeneous Morrey space.

Abstract

We obtain weak type $(1,q)$ inequalities for fractional integral operators on generalized non-homogeneous Morrey spaces. The proofs use some properties of maximal operators. Our results are closely related to the strong type inequalities in [13, 14, 15].

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Published

2012-03-01

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Vol. 28 No. 1 (2012)

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Articles

How to Cite

Weak Type Inequalities for Fractional Integral Operators on Generalized Non-Homogeneous Morrey Spaces. (2012). Analysis in Theory and Applications, 28(1), 65-72. https://doi.org/10.4208/ata.2012.v28.n1.8