engleski

On the multidimensional Hilbert-type inequalities involving the Hardy operator

This paper deals with the multidimensional Hilbert-type inequalities involving the Hardy operator and homogeneous kernels. The main results are established in the setting with the non-conjugate exponents. After reduction to the conjugate case, the inequalities with the best possible constant factors are obtained in some general cases. As an application, some particular settings are considered in order to obtain the multidimensional extensions of some recent results, known from the literature.

the Hilbert inequality; the Hardy inequality; the Hardy operator; conjugate exponents; non-conjugate exponents; the best possible constant factors

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