On the Dirichlet problem for the elliptic equations with boundary values in variable Morrey-Lorentz spaces
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Publication:6601849
DOI10.1016/j.jde.2024.05.053zbMATH Open1548.30181MaRDI QIDQ6601849
Jun Liu, Tianjun Shen, Xian Jie Yan, Bo Li
Publication date: 11 September 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Boundary behavior of harmonic functions in higher dimensions (31B25) Analysis on metric spaces (30L99)
Cites Work
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- Heat kernels, upper bounds and Hardy spaces associated to the generalized Schrödinger operators
- Variable weak Hardy spaces and their applications
- Anisotropic Hardy-Lorentz spaces and their applications
- A variation norm Carleson theorem
- Hardy spaces with variable exponents and generalized Campanato spaces
- The dual of noncommutative Lorentz spaces
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Lorentz martingale spaces and interpolation
- Lebesgue and Sobolev spaces with variable exponents
- Gaussian upper bounds for the heat kernel on arbitrary Riemannian manifolds
- Carleson measures, BMO spaces and balayages associated to Schrödinger operators
- Global Lorentz and Lorentz-Morrey estimates below the natural exponent for quasilinear equations
- Function spaces of variable smoothness and integrability
- Endpoint properties of localized Riesz transforms and fractional integrals associated to Schrödinger operators
- Characterization of temperatures with initial data in BMO
- New characterizations of Morrey spaces and their preduals with applications to fractional Laplace equations
- Atomic decompositions of localized Hardy spaces with variable exponents and applications
- On characterization of Poisson integrals of Schrödinger operators with Morrey traces
- \(L^ p\) estimates for Schrödinger operators with certain potentials
- Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality
- Embeddings for Morrey-Lorentz spaces
- Dirichlet problem for Schrödinger equation with the boundary value in the BMO space
- Sharp endpoint \(L^p\) estimates for Schrödinger groups
- Real-variable characterizations of Hardy-Lorentz spaces on spaces of homogeneous type with applications to real interpolation and boundedness of Calderón-Zygmund operators
- Martingale Musielak-Orlicz-Lorentz Hardy spaces with applications to dyadic Fourier analysis
- Littlewood-Paley and finite atomic characterizations of anisotropic variable Hardy-Lorentz spaces and their applications
- On characterization of Poisson integrals of Schrödinger operators with BMO traces
- Homogeneous Campanato-Sobolev classes
- \(H^p\) spaces of several variables
- On the solutions of quasilinear elliptic partial differential equations.
- Some new functional spaces
- On the theory of spaces \(\Lambda\)
- Towards spaces of harmonic functions with traces in square Campanato spaces and their scaling invariants
- Maximal function characterizations of Hardy spaces associated with magnetic Schrödinger operators
- Burkholder’s inequalities in noncommutative Lorentz spaces
- Localized Morrey-Campanato spaces on metric measure spaces and applications to Schrüdinger operators
- Fractional, Maximal and Singular Operators in Variable Exponent Lorentz Spaces
- Maximal function characterizations for new local Hardy-type spaces on spaces of homogeneous type
- Anisotropic Hardy-Lorentz Spaces with Variable Exponents
- Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
- The fractional integral operators on Morrey spaces with variable exponent on unbounded domains
- Maximal Operator in Variable Exponent Lebesgue Spaces on Unbounded Quasimetric Measure Spaces
- Classical Fourier Analysis
- Lorentz spaces with variable exponents
- Variable Hardy Spaces
- Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem
- Intermediate spaces and interpolation, the complex method
- Sharp Lorentz space estimates for rough operators
- On the caloric functions with BMO traces and their limiting behaviors
- On the Dirichlet problem for the Schrödinger equation in the upper half-space
- Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes
- On the coincidence between Campanato functions and Lipschitz functions: a new approach via elliptic PDES
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