V. M. Kokilashvili, A. N. Meskhi, H. Rafeiro, “Boundedness of Sublinear Operators in Weighted Grand Morrey Spaces”, Mat. Zametki, 2017, Volume 102, Issue 5,Pages <nobr>721

This article is cited in 7 papers

Boundedness of Sublinear Operators in Weighted Grand Morrey Spaces

V. M. Kokilashvili^a, A. N. Meskhi^ab, H. Rafeiro^c

^a Andrea Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University
^b Georgian Technical University
^c Pontificia Universidad Javeriana

Abstract: 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.

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

UDC: 517

Received: 10.04.2017

DOI: 10.4213/mzm11643