GENERALIZED LOCAL MORREY SPACES AND MULTILINEAR COMMUTATORS GENERATED BY MARCINKIEWICZ INTEGRALS WITH ROUGH KERNEL ASSOCIATED WITH SCHRÖDINGER PERATORS AND LOCAL CAMPANATO FUNCTIONS

DOI10.11948/2018.1369zbMath1456.42015OpenAlexW2893707758MaRDI QIDQ5148039

Ferit Gurbuz

Publication date: 29 January 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2018.1369

zbMATH Keywords

rough kernelSchrödinger operatorMarcinkiewicz operatormultilinear commutatorgeneralized local Morrey space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Penalized Projected Kernel Calibration for Computer Models ⋮ Commutators of log-Dini-type parametric Marcinkiewicz operators on non-homogeneous metric measure spaces ⋮ A note concerning Marcinkiewicz integral with rough kernel

Cites Work

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• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Boundedness for Marcinkiewicz integrals associated with Schrödinger operators
• Sublinear operators with rough kernel generated by Calderón-Zygmund operators and their commutators on generalized local Morrey spaces
• Marcinkiewicz integrals with rough kernel associated with Schrödinger operators and commutators on generalized vanishing local Morrey spaces
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations

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