Boundedness of sublinear operators in weighted grand Morrey spaces

DOI10.1134/S0001434617110062zbMath1432.42011OpenAlexW2777023935MaRDI QIDQ1702469

Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro

Publication date: 28 February 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617110062

zbMATH Keywords

singular integralssublinear operatorsspaces of homogeneous typefractional integralsweighted Morrey spacesweighted inequality

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (5)

On the boundedness of integral operators in weighted grand Morrey spaces ⋮ Unnamed Item ⋮ On the duality of grand Bochner-Lebesgue spaces ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
• A direct approach to the duality of grand and small Lebesgue spaces
• A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces
• Lipschitz functions on spaces of homogeneous type
• Weighted Hardy spaces
• On the integrability of the Jacobian under minimal hypotheses
• Inverting the \(p\)-harmonic operator
• Duality and reflexivity in grand Lebesgue spaces
• Small Lebesgue spaces and their applications
• The boundedness of sublinear operators in weighted Morrey spaces defined on spaces of homogeneous type
• On small Lebesgue spaces
• Grand and small Lebesgue spaces and their analogs
• Potentials with product kernels in grand Lebesgue spaces: one-weight criteria
• Estimates for operators on weighted Morrey spaces and their applications to nondivergence elliptic equations
• Maximal functions, potentials and singular integrals in grand Morrey spaces
• The maximal theorem for weighted grand Lebesgue spaces
• Weighted Morrey spaces and a singular integral operator
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Weighted Norm Inequalities for Fractional Integrals
• A Note on Boundedness of Operators in Grand Grand Morrey Spaces
• Morrey-Campanato Spaces: an Overview
• Criteria for the Boundedness of Potential Operators in Grand Lebesgue Spaces
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations

This page was built for publication: Boundedness of sublinear operators in weighted grand Morrey spaces