Morrey-type estimates for commutator of fractional integral associated with Schrödinger operators on the Heisenberg group
DOI10.1186/S13662-018-1730-8zbMath1446.35240OpenAlexW2887689741MaRDI QIDQ1710263
Ali Akbulut, Vagif S. Guliyev, Faiq M. Namazov
Publication date: 22 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1730-8
Heisenberg groupSchrödinger operatorfractional integralCampanato spacecommutatorcentral generalized Morrey space
Function spaces arising in harmonic analysis (42B35) Schrödinger operator, Schrödinger equation (35J10) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Riesz potential in generalized Morrey spaces on the Heisenberg group
- Generalized local Morrey spaces and fractional integral operators with rough kernel
- Commutators of Calderón-Zygmund operators related to admissible functions on spaces of homogeneous type and applications to Schrödinger operators
- Maximal, potential and singular operators in vanishing generalized Morrey spaces
- Commutators of Riesz transforms related to Schrödinger operators
- Intrinsic square functions on vanishing generalized Orlicz-Morrey spaces
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces
- Boundedness for some Schrödinger type operators on Morrey spaces related to certain nonnegative potentials
- Sobolev-Morrey spaces related to an ultraparabolic equation
- \(L^p\) estimates of Schrödinger operators on nilpotent groups
- Spaces of bounded \(\lambda\)-central mean oscillation, Morrey spaces, and \(\lambda\)-central Carleson measures
- Asymptotic behavior of third-order functional differential equations with a negative middle term
- \(L^ p\) estimates for Schrödinger operators with certain potentials
- Commutator of fractional integral with Lipschitz functions associated with Schrödinger operator on local generalized Morrey spaces
- Some estimates for commutators of Riesz transforms associated with Schrödinger operators
- Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients
- Marcinkiewicz integrals associated with Schrödinger operator and their commutators on vanishing generalized Morrey spaces
- Commutators and generalized local Morrey spaces
- Weighted estimates for commutators of some singular integrals related to Schrödinger operators
- Commutators of fractional integral operators on Vanishing-Morrey spaces
- Singular integrals and commutators in generalized Morrey spaces
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss
- Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
- On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
This page was built for publication: Morrey-type estimates for commutator of fractional integral associated with Schrödinger operators on the Heisenberg group
