Boundary behaviour of Neumann harmonic functions with Lebesuge, Hardy and BMO traces in the upper half-space

Boundary value problems for second-order elliptic equations (35J25) Second-order parabolic equations (35K10) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Cites Work

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Applications of Orlicz-Hardy spaces associated with operators satisfying Poisson estimates
Characterizations of \(H_{\Delta_N}^1(\mathbb{R}^n)\) and \(\operatorname{BMO}_{\Delta_N}(\mathbb{R}^n)\) via weak factorizations and commutators
Predual spaces of Banach completions of Orlicz-Hardy spaces associated with operators
On the theory of harmonic functions of several variables
New Orlicz-Hardy spaces associated with divergence form elliptic operators
Comparison of the classical BMO with the BMO spaces associated with operators and applications
Old and new Morrey spaces with heat kernel bounds
Characterization of temperatures with initial data in BMO
The BMO-Dirichlet problem for elliptic systems in the upper half-space and quantitative characterizations of VMO
On characterization of Poisson integrals of Schrödinger operators with Morrey traces
VMO spaces associated with Neumann Laplacian
The CMO-Dirichlet problem for the Schrödinger equation in the upper half-space and characterizations of CMO
Dirichlet problem for Schrödinger equation with the boundary value in the BMO space
Variational inequalities for the differences of averages over lacunary sequences
Two weight commutators in the Dirichlet and Neumann Laplacian settings
On characterization of Poisson integrals of Schrödinger operators with BMO traces
A characterization of the Morrey-Campanato spaces
Homogeneous Campanato-Sobolev classes
\(H^p\) spaces of several variables
BMO type space associated with Neumann operator and application to a class of parabolic equations
Towards spaces of harmonic functions with traces in square Campanato spaces and their scaling invariants
On functions of bounded mean oscillation
Modern Fourier Analysis
Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications
On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
On the caloric functions with BMO traces and their limiting behaviors
On the Dirichlet problem for the Schrödinger equation in the upper half-space
Square function characterizations of real and ergodic \(H^1\) spaces
Harmonic functions with BMO traces and their limiting behaviors on metric measure spaces
On the coincidence between Campanato functions and Lipschitz functions: a new approach via elliptic PDES

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