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Multidimensional Hilbert-type Inequality on the Weighted Orlicz Spaces

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Abstract

In this paper we derive multidimensional Hilbert-type inequality on the weighted Orlicz spaces with considerable attention given to homogeneous kernels of negative degree. As an application, we also deduce Hardy-Hilbert type inequality in one particular case. As a special case, we consider our general method in the case of the weighted Lebesgue spaces.

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  1. Faculty of Electrical Engineering and Computing, Unska 3, 10000, Zagreb, Croatia

    Mario Krnić

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  1. Mario Krnić
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Correspondence to Mario Krnić.

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Krnić, M. Multidimensional Hilbert-type Inequality on the Weighted Orlicz Spaces. Mediterr. J. Math. 9, 883–895 (2012). https://doi.org/10.1007/s00009-011-0160-6

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  • DOI: https://doi.org/10.1007/s00009-011-0160-6

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