On more accurate Hilbert-type inequalities in finite measure spaces

• Autores: Mario Krnic, Josip Pecaric
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 65, Fasc. 1, 2014, págs. 143-154
• Idioma: inglés
• DOI: 10.1007/s13348-013-0088-1
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• Resumen

  • In this paper we establish several more precise versions of a general Hilbert-type inequality regarding finite measure spaces. These inequalities are derived by virtue of some new improved versions of the Hölder inequality, known from the literature. The main results are then applied to some particular settings with a special emphasis to homogeneous kernels and power weight functions.