Boundedness of Sublinear Operators

V. M. Kokilashvili ; A. N. Meskhi ; H. Rafeiro

Matematičeskie zametki, Tome 102 (2017) no. 5, pp. 721-735.

Résumé

The boundedness of sublinear integral operators in grand Morrey spaces defined by means of measures generated by the Muckenhoupt weights is established. The operators under consideration involve operators of Harmonic Analysis such as Hardy–Littlewood and fractional maximal operators, Calderón–Zygmund operators, potential operators etc.

Détail

Keywords: sublinear operators, weighted Morrey spaces, spaces of homogeneous type, weighted inequality, singular integrals, fractional integrals.

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