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arxiv: 0907.5353 · v1 · submitted 2009-07-30 · 🧮 math.AP

Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures

classification 🧮 math.AP
keywords fractionalexponentspacesvariableweightedahlforsboundedboundedness
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In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral operator.

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