The Green function with pole at infinity applied to the study of the elliptic measure (Q6110444)

scientific article; zbMATH DE number 7707618

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English	The Green function with pole at infinity applied to the study of the elliptic measure	scientific article; zbMATH DE number 7707618

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instance of

scholarly article

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title

The Green function with pole at infinity applied to the study of the elliptic measure (English)

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6 July 2023

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full work available at URL

https://arxiv.org/abs/2010.04034

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zbMATH Keywords

Green function with pole at infinity

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elliptic measure

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$A_\infty $-absolute continuity

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MaRDI profile type

MaRDI publication profile

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cites work

Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition

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Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems

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Rectifiability of harmonic measure

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A new characterization of chord-arc domains

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Harmonic measure and quantitative connectivity: geometric characterization of the $L^p$-solvability of the Dirichlet problem

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Harmonic measure and arclength

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Q4751075

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Q3940170

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Estimates of harmonic measure

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Q4713875

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Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions

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Harmonic Measure Is Absolutely Continuous with Respect to the Hausdorff Measure on All Low-Dimensional Uniformly Rectifiable Sets

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Dahlberg's theorem in higher co-dimension

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A new elliptic measure on lower dimensional sets

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Square functions, nontangential limits, and harmonic measure in codimension larger than 1

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Elliptic Theory for Sets with Higher Co-dimensional Boundaries

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Carleson measure estimates for the Green function

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Green function estimates on complements of low-dimensional uniformly rectifiable sets

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Regularity theory for solutions to second order elliptic operators with complex coefficients and the $L^{p}$ Dirichlet problem

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The $L^p$ Dirichlet problem for second order elliptic operators and a $p$-adapted square function

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BMO solvability and the $A_{\infty}$ condition for elliptic operators

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Boundary Value Problems for Second‐Order Elliptic Operators Satisfying a Carleson Condition

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The theory of weights and the Dirichlet problem for elliptic equations

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Absolute continuity of the harmonic measure on low dimensional rectifiable sets

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The Dirichlet problem in domains with lower dimensional boundaries

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𝐴_{∞} estimates via extrapolation of Carleson measures and applications to divergence form elliptic operators

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Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$

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Uniform rectifiability and harmonic measure. II: Poisson kernels in $L^p$ imply uniform rectifiability

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Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators

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Carleson measure estimates and the Dirichlet problem for degenerate elliptic equations

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Uniform rectifiability and elliptic operators satisfying a Carleson measure condition

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The Dirichlet problem for elliptic operators having a BMO anti-symmetric part

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The Dirichlet problem in non-smooth domains

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The Dirichlet problem for elliptic equations with drift terms

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A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations

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Square functions and the $A_\infty$ property of elliptic measures

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Boundary problems in the theory of univalent functions

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Carleson perturbations of elliptic operators on domains with low dimensional boundaries

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Square function estimates, the BMO Dirichlet problem, and absolute continuity of harmonic measure on lower-dimensional sets

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Construction of a singular elliptic-harmonic measure

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Q4297492

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Q3142876

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Identifiers

zbMATH Open document ID

1519.35096

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arXiv ID

2010.04034

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Mathematics Subject Classification ID

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10.2140/APDE.2023.16.545

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Sitelinks

Mathematics(1 entry)

mardi Publication:6110444