Generalized Schrödinger operators on the Heisenberg group and Hardy spaces

Maximal functions, Littlewood-Paley theory (42B25) Schrödinger operator, Schrödinger equation (35J10) (H^p)-spaces (42B30) Harmonic analysis and PDEs (42B37)

Cites Work

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Heat kernels, upper bounds and Hardy spaces associated to the generalized Schrödinger operators
\(BMO_L(\mathbb H^n)\) spaces and Carleson measures for Schrödinger operators
Endpoint properties of localized Riesz transforms and fractional integrals associated to Schrödinger operators
Hardy space \(H^1\) associated to Schrödinger operator with potential satisfying reverse Hölder inequality
Subelliptic estimates and function spaces on nilpotent Lie groups
\(L^p\) estimates of Schrödinger operators on nilpotent groups
BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
On fundamental solutions of generalized Schrödinger operators
Subharmonic functions on Carnot groups
\(L^ p\) estimates for Schrödinger operators with certain potentials
Heat kernels of generalized degenerate Schrödinger operators and Hardy spaces
Quantitative boundedness of Littlewood-Paley functions on weighted Lebesgue spaces in the Schrödinger setting
Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications
Maximal function characterizations of Hardy spaces associated with Schrödinger operators on nilpotent Lie groups
Heat kernels and theory of Hardy spaces associated to Schrödinger operators on stratified groups
The uncertainty principle
Localized Hardy spaces 𝐻¹ related to admissible functions on RD-spaces and applications to Schrödinger operators
An Estimate on the Heat Kernel of Magnetic Schrödinger Operators and Uniformly Elliptic Operators with Non-Negative Potentials
Stratified Lie Groups and Potential Theory for their Sub-Laplacians
Subadditivity of Homogeneous Norms on Certain Nilpotent Lie Groups
Harnack's Inequality for Sum of Squares of Vector Fields Plus a Potential
Maximum Principle, Nonhomogeneous Harnack Inequality, and Liouville Theorems forX-Elliptic Operators
Riesz Transforms Outside a Convex Obstacle
Maximal function characterizations for new local Hardy-type spaces on spaces of homogeneous type
Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
Second-order Riesz Transforms and Maximal Inequalities Associated with Magnetic Schr ödinger Operators