Boundedness for some Schrödinger type operators on Morrey spaces related to certain nonnegative potentials

DOI10.1016/j.jmaa.2009.01.043zbMath1166.35321OpenAlexW2083439124MaRDI QIDQ1018338

Lin Tang, Jian Feng Dong

Publication date: 19 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.01.043

zbMATH Keywords

Schrödinger operatorcommutatorMorrey spaces

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (29)

Schrödinger type operators on generalized Morrey spaces ⋮ \(L^p\)-boundedness properties of variation operators in the Schrödinger setting ⋮ Commutator of fractional integral with Lipschitz functions associated with Schrödinger operator on local generalized Morrey spaces ⋮ Variation inequalities related to Schrödinger operators on Morrey spaces ⋮ The Herz-boundedness of commutators related to Schrödinger operators in the setting of Heisenberg group ⋮ The boundedness of commutators associated with Schrödinger operators on Herz spaces ⋮ On boundedness property of singular integral operators associated to a Schrödinger operator in a generalized Morrey space and applications ⋮ Boundedness of variation operators associated with the heat semigroup generated by high order Schrödinger type operators ⋮ Fractional integral associated with Schrödinger operator on vanishing generalized Morrey spaces ⋮ Marcinkiewicz integrals associated with Schrödinger operator and their commutators on vanishing generalized Morrey spaces ⋮ Weighted Morrey spaces related to Schrödinger operators with nonnegative potentials and fractional integrals ⋮ Unnamed Item ⋮ Two-weight norm inequalities for some fractional type operators related to Schrödinger operator on weighted Morrey spaces ⋮ The boundedness of Marcinkiewicz integrals associated with Schrödinger operator on Morrey spaces ⋮ Weighted norm inequalities related to fractional Schrödinger operators ⋮ Boundedness for Littlewood-Paley functions on weighted Morrey-type spaces related to certain nonnegative potentials ⋮ Commutators of higher order Riesz transform associated with Schrödinger operators ⋮ Morrey-type estimates for commutator of fractional integral associated with Schrödinger operators on the Heisenberg group ⋮ Boundedness for some Schrödinger type operators on weighted Morrey spaces ⋮ Unnamed Item ⋮ Boundedness of higher order Riesz transforms associated with Schrodinger type operator on generalized Morrey spaces ⋮ Boundedness of high order commutators of Marcinkiewicz integrals associated with Schrödinger operators ⋮ Boundedness for Riesz transform associated with Schrödinger operators and its commutator on weighted Morrey spaces related to certain nonnegative potentials ⋮ A compactness criterion and application to the commutators associated with Schrödinger operators ⋮ Variation inequalities related to Schrödinger operators on weighted Morrey spaces ⋮ Schrödinger type operators on local generalized Morrey spaces related to certain nonnegative potentials ⋮ New weighted norm inequalities for certain classes of multilinear operators on Morrey-type spaces ⋮ Fractional integral associated to Schrödinger operator on the Heisenberg groups in central generalized Morrey spaces ⋮ Weighted Morrey spaces related to certain nonnegative potentials and Riesz transforms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homothetic variant of fractional Sobolev space with application to Navier-Stokes system
• Old and new Morrey spaces with heat kernel bounds
• Endpoint estimates and weighted norm inequalities for commutators of fractional integrals
• Weak estimates for commutators of fractional integral operators
• Endpoint estimates for commutators of singular integral operators
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• On functions of bounded mean oscillation
• Nonlinear potential analysis on Morrey spaces and their capacities

This page was built for publication: Boundedness for some Schrödinger type operators on Morrey spaces related to certain nonnegative potentials