engleski

Multidimensional Hilbert-type inequality on the weighted Orlicz spaces

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.

Hilbert-type inequality; Hardy-Hilbert type inequality; the weighted Orlicz space; Young function; conjugate function; Luxemburg-Nakano norm

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