Mathematica Eterna
Open Access

ISSN: 1314-3344

Abstract

Weak (p, q) Inequalities for Fractional Integral Operators on Generalized Morrey Spaces of Non-Homogeneous Type

Denny Ivanal Hakim and Hendra Gunawan

In this paper, we prove weak (p, q) inequalities for fractional integral operators on generalized non-homogeneous Morrey spaces for 1 ≤ p < q < ∞. The proof involves an inequality for the modified HardyLittlewood maximal operator and the Chebyshev inequality. Our results generalize those obtained by Garcia-Cuerva and Gatto [1] and also extend those by Sihwaningrum et al. [5].

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