Generalized Carleson perturbations of elliptic operators and applications (Q5039717)

scientific article; zbMATH DE number 7595828

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English	Generalized Carleson perturbations of elliptic operators and applications	scientific article; zbMATH DE number 7595828

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instance of

scholarly article

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title

Generalized Carleson perturbations of elliptic operators and applications (English)

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Transactions of the American Mathematical Society

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publication date

4 October 2022

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full work available at URL

https://arxiv.org/abs/2011.06574

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zbMATH Keywords

second-order elliptic operator

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Dirichlet problem

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pertubation

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MaRDI profile type

MaRDI publication profile

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cites work

Analyticity of layer potentials and $L^{2}$ solvability of boundary value problems for divergence form elliptic equations with complex $L^{\infty }$ coefficients

0 references

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

0 references

Solvability of elliptic systems with square integrable boundary data

0 references

Extrapolation of Carleson measures and the analyticity of Kato's square-root operators.

0 references

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

0 references

A new characterization of chord-arc domains

0 references

On weak reverse hölder inequalities for nondoubling harmonic measures

0 references

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

0 references

Q3940170

0 references

Perturbations of elliptic operators in 1-sided chord-arc domains. Part I: Small and large perturbation for symmetric operators

0 references

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

0 references

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

0 references

Estimates of harmonic measure

0 references

On the Poisson integral for Lipschitz and $C^{1}$-domains

0 references

On the Absolute Continuity of Elliptic Measures

0 references

Poisson Semigroups and Singular Integrals

0 references

Dahlberg's theorem in higher co-dimension

0 references

Elliptic Theory for Sets with Higher Co-dimensional Boundaries

0 references

Fundamental matrices and Green matrices for non-homogeneous elliptic systems

0 references

Q4713875

0 references

Good elliptic operators on Cantor sets

0 references

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

0 references

BMO solvability and the $A_\infty$ condition for second order parabolic operators

0 references

The $L^ p$ Dirichlet problem for small perturbations of the Laplacian

0 references

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

0 references

Absolute continuity of the harmonic measure on low dimensional rectifiable sets

0 references

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

0 references

The theory of weights and the Dirichlet problem for elliptic equations

0 references

Analytic capacity and measure

0 references

Q3700300

0 references

Q5294569

0 references

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

0 references

The Dirichlet problem for parabolic operators with singular drift terms

0 references

Hardy and BMO spaces associated to divergence form elliptic operators

0 references

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

0 references

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

0 references

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

0 references

Uniform rectifiability and elliptic operators satisfying a Carleson measure condition

0 references

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

0 references

The Dirichlet problem in non-smooth domains

0 references

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

0 references

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

0 references

The Dirichlet problem for elliptic equations with drift terms

0 references

The method of layer potentials for the heat equation in time-varying domains

0 references

Construction of a singular elliptic-harmonic measure

0 references

The generalized Hölder and Morrey-Campanato Dirichlet problems for elliptic systems in the upper half-space

0 references

Carleson perturbations of elliptic operators on domains with low dimensional boundaries

0 references

Perturbations of elliptic operators in chord arc domains

0 references

Divergence form operators in Reifenberg flat domains

0 references

A Criterion for the Boundedness of Singular Integrals on Hypersurfaces

0 references

Q3142876

0 references

Identifiers

DOI

10.1090/tran/8635

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5039717