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arxiv: 1007.0879 · v1 · submitted 2010-07-06 · 🧮 math.FA

Two-Weighted Norm Inequalities for the Double Hardy Transforms and Strong Fractional Maximal Functions in Variable Exponent Lebesgue Spaces

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keywords exponentdoublefractionalfunctionshardylebesguemaximalnorm
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Two-weight norm estimates for the double Hardy transforms and strong fractional maximal functions are established in variable exponent Lebesgue spaces. Derived conditions are simultaneously necessary and sufficient in the case when the exponent of the right-hand side space is constant.

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