Uniform rectifiability and \(\varepsilon\)-approximability of harmonic functions in \(L^p\)
From MaRDI portal
Publication:2027743
DOI10.5802/aif.3359zbMath1465.42024arXiv1710.05528OpenAlexW3156052122WikidataQ109747341 ScholiaQ109747341MaRDI QIDQ2027743
Publication date: 28 May 2021
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.05528
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Second-order elliptic equations (35J15) Length, area, volume, other geometric measure theory (28A75) Harmonic analysis and PDEs (42B37)
Related Items (2)
Uniform rectifiability implies Varopoulos extensions ⋮ $\varepsilon $-approximability of harmonic functions in $L^p$ implies uniform rectifiability
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniform rectifiability, Carleson measure estimates, and approximation of harmonic functions
- A new characterization of chord-arc domains
- Approximation of harmonic functions
- Harmonic measure and arclength
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- A remark on functions of bounded mean oscillation and bounded harmonic functions
- A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations
- Uniform rectifiability from Carleson measure estimates and {\(\epsilon\)}-approximability of bounded harmonic functions
- Bounded variation approximation of \(L_p\) dyadic martingales and solutions to elliptic equations
- Equivalence of sparse and Carleson coefficients for general sets
- Imbedding and multiplier theorems for discrete Littlewood-Paley spaces
- Intuitive dyadic calculus: the basics
- \(H^p\) spaces of several variables
- Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$
- Systems of dyadic cubes in a doubling metric space
- Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
- $\varepsilon $-approximability of harmonic functions in $L^p$ implies uniform rectifiability
- A T(b) theorem with remarks on analytic capacity and the Cauchy integral
- Bounded Analytic Functions
- Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
This page was built for publication: Uniform rectifiability and \(\varepsilon\)-approximability of harmonic functions in \(L^p\)