Harmonic functions with BMO traces and their limiting behaviors on metric measure spaces
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Publication:6145520
DOI10.1007/s40840-023-01603-1OpenAlexW4388972115MaRDI QIDQ6145520
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Publication date: 9 January 2024
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-023-01603-1
Boundary value problems for second-order elliptic equations (35J25) Function spaces arising in harmonic analysis (42B35) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)
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Cites Work
- Weighted maximal regularity estimates and solvability of non-smooth elliptic systems. I
- Nonlinear potential theory on metric spaces
- Geometry and analysis of Dirichlet forms
- Morrey-type space and its Köthe dual space
- On the theory of harmonic functions of several variables
- Poincaré inequalities, uniform domains and extension properties for Newton-Sobolev functions in metric spaces
- Hardy and BMO spaces associated to divergence form elliptic operators
- Characterization of temperatures with initial data in BMO
- Dirichlet forms and symmetric Markov processes
- Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces
- The BMO-Dirichlet problem for elliptic systems in the upper half-space and quantitative characterizations of VMO
- BMO solvability and absolute continuity of harmonic measure
- Maximal function characterizations for Hardy spaces associated with nonnegative self-adjoint operators on spaces of homogeneous type
- BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
- A Saint-Venant type principle for Dirichlet forms on discontinuous media
- Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality
- Variation operators on weighted Hardy and BMO spaces in the Schrödinger setting
- 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
- Extension of Campanato-Sobolev type spaces associated with Schrödinger operators
- Riesz transform via heat kernel and harmonic functions on non-compact manifolds
- Carleson measure estimates and the Dirichlet problem for degenerate elliptic equations
- Riesz transform under perturbations via heat kernel regularity
- Gradient estimates for heat kernels and harmonic functions
- Tensorization of Cheeger energies, the space \(H^{1, 1}\) and the area formula for graphs
- The Poincaré inequality is an open ended condition
- Cheeger-harmonic functions in metric measure spaces revisited
- On characterization of Poisson integrals of Schrödinger operators with BMO traces
- \(H^p\) spaces of several variables
- Regularity of solutions to the fractional Cheeger-Laplacian on domains in metric spaces of bounded geometry
- Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
- DIRICHLET SPACES
- Boundary value problems for degenerate elliptic equations and systems
- Classes of Hardy spaces associated with operators, duality theorem and applications
- Some new characterizations on spaces of functions with bounded mean oscillation
- The local regularity of solutions of degenerate elliptic equations
- Extensions of Hardy spaces and their use in analysis
- Poisson semigroup characterization and the trace theorem of a class of fractional mean oscillation spaces
- Tensor products and sums of 𝑝\mspace{1𝑚𝑢}-harmonic functions, quasiminimizers and 𝑝\mspace{1𝑚𝑢}-admissible weights
- Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications
- Sobolev Spaces on Metric Measure Spaces
- Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
- Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces
- Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
- Characterizations of bounded mean oscillation
- New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications
- A representation theorem of harmonic functions and its application to BMO on manifolds
- Harmonic functions on metric spaces
- On the caloric functions with BMO traces and their limiting behaviors
- On the Dirichlet problem for the Schrödinger equation in the upper half-space
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