On the condition for elliptic operators in 1-sided nontangentially accessible domains satisfying the capacity density condition (Q5101296)

scientific article; zbMATH DE number 7577484

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English	On the condition for elliptic operators in 1-sided nontangentially accessible domains satisfying the capacity density condition	scientific article; zbMATH DE number 7577484

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instance of

scholarly article

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title

On the condition for elliptic operators in 1-sided nontangentially accessible domains satisfying the capacity density condition (English)

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Forum of Mathematics, Sigma

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publication date

30 August 2022

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full work available at URL

https://arxiv.org/abs/2101.06064

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zbMATH Keywords

nontangentially accessible domain

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uniformly elliptic operators

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MaRDI profile type

MaRDI publication profile

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cites work

Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition

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A new characterization of chord-arc domains

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Harmonic measure and arclength

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Elliptic measures and square function estimates on 1-sided chord-arc domains

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Perturbations of elliptic operators in 1-sided chord-arc domains. Part II: Non-symmetric operators and Carleson measure estimates

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A T(b) theorem with remarks on analytic capacity and the Cauchy integral

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Weighted norm inequalities for maximal functions and singular integrals

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Dahlberg's theorem in higher co-dimension

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Q4713875

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

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Necessary and sufficient conditions for absolute continuity of elliptic- harmonic measure

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A Criterion for the Absolute Continuity of the Harmonic Measure Associated With an Elliptic Operator

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$H^p$ spaces of several variables

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Generalized Carleson perturbations of elliptic operators and applications

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Q3700300

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The L$^p$-integrability of the partial derivatives of a quasiconformal mapping

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The Green function for uniformly elliptic equations

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Q5294569

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BMO solvability and absolute continuity of harmonic measure

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The weak-$A_\infty$ property of harmonic and $p$-harmonic measures implies uniform rectifiability

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

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Uniform rectifiability, Carleson measure estimates, and approximation of harmonic functions

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Uniform rectifiability and elliptic operators satisfying a Carleson measure condition

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$A_\infty$ implies NTA for a class of variable coefficient elliptic operators

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

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𝐿^{𝑝}-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets

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Q3586767

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Systems of dyadic cubes in a doubling metric space

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What is a cube?

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Boundary behavior of harmonic functions in non-tangentially accessible domains

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

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

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The Dirichlet problem for elliptic equations with drift terms

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Uniformly Fat Sets

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Weighted Hardy spaces associated with elliptic operators. Part I: Weighted norm inequalities for conical square functions

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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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Harmonic analysis on chord arc domains

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Perturbations of elliptic operators in chord arc domains

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BMO solvability and $A_\infty$ condition of the elliptic measures in uniform domains

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Identifiers

zbMATH Open document ID

1503.35072

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DOI

10.1017/fms.2022.50

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5101296