Weighted inequalities for the Sawyer two-dimensional Hardy operator and its limiting geometric mean operator.
Wedestig, Anna (2005)
Journal of Inequalities and Applications [electronic only]
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Wedestig, Anna (2005)
Journal of Inequalities and Applications [electronic only]
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Heinig, Hans P.
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Sorina Barza, Lars-Erik Persson (1999)
Mathematica Bohemica
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We discuss the characterization of the inequality (RN+ fq u)1/q C (RN+ fp v )1/p, 0<q, p <, for monotone functions and nonnegative weights and and . We prove a new multidimensional integral modular inequality for monotone functions. This inequality generalizes and unifies some recent results in one and several dimensions.
Wedestig, Anna (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Leping, He, Mingzhe, Gao, Yu, Zhou (2008)
International Journal of Mathematics and Mathematical Sciences
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