Boundedness for some Schrödinger type operators on weighted Morrey spaces

DOI10.1155/2014/878629zbMath1471.47026OpenAlexW1977616281WikidataQ59057749 ScholiaQ59057749MaRDI QIDQ2443824

Lin Tang, Gui-Xia Pan

Publication date: 8 April 2014

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/878629

zbMATH Keywords

boundednessweighted Morrey spacesSchrödinger type operators

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Operators arising in mathematical physics (47B93)

Related Items

Variation inequalities related to Schrödinger operators on Morrey spaces, Weighted Morrey spaces related to Schrödinger operators with nonnegative potentials and fractional integrals, Two-weight norm inequalities for some fractional type operators related to Schrödinger operator on weighted Morrey spaces, Boundedness of fractional heat semigroups generated by degenerate Schrödinger operators, Weighted norm inequalities related to fractional Schrödinger operators, Morrey spaces for Schrödinger operators with certain nonnegative potentials, Littlewood-Paley and Lusin functions on the Heisenberg groups, Boundedness for Littlewood-Paley functions on weighted Morrey-type spaces related to certain nonnegative potentials, Boundedness of higher order Riesz transforms associated with Schrodinger type operator on generalized Morrey spaces, Boundedness for Riesz transform associated with Schrödinger operators and its commutator on weighted Morrey spaces related to certain nonnegative potentials, Morrey spaces for Schrödinger operators with nonnegative potentials, fractional integral operators and the Adams inequality on the Heisenberg groups, Variation inequalities related to Schrödinger operators on weighted Morrey spaces, New weighted norm inequalities for certain classes of multilinear operators on Morrey-type spaces, Weighted Morrey spaces related to certain nonnegative potentials and Riesz transforms

Cites Work

• Unnamed Item
• Weighted inequalities for commutators of Schrödinger-Riesz transforms
• Intrinsic square functions on the weighted Morrey spaces
• Commutators of Riesz transforms related to Schrödinger operators
• Classes of weights related to Schrödinger operators
• Boundedness for some Schrödinger type operators on Morrey spaces related to certain nonnegative potentials
• Endpoint estimates for commutators of singular integral operators
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Lerner's inequality associated to a critical radius function and applications
• Weighted Morrey spaces and a singular integral operator