Approximation of harmonic functions
From MaRDI portal
Publication:755003
DOI10.5802/aif.787zbMath0417.31005OpenAlexW2322246711MaRDI QIDQ755003
Publication date: 1980
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1980__30_2_97_0
Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Approximation by other special function classes (41A30)
Related Items
Carleson measure estimates and \(\varepsilon\)-approximation for bounded harmonic functions, without Ahlfors regularity assumptions ⋮ Uniform rectifiability from Carleson measure estimates and {\(\epsilon\)}-approximability of bounded harmonic functions ⋮ Elliptic equations in the plane satisfying a Carleson measure condition ⋮ On area integral estimates for solutions to parabolic systems in time-varying and non-smooth cylinders ⋮ BMO solvability and the \(A_{\infty}\) condition for elliptic operators ⋮ A Martingale Inequality Related to Exponential Square Integrability ⋮ Estimates for the corona problem ⋮ $\varepsilon $-approximability of harmonic functions in $L^p$ implies uniform rectifiability ⋮ Meromorphic and harmonic functions inducing continuous maps from \(M_{H^\infty}\) into the Riemann sphere ⋮ The regularity and Neumann problem for non-symmetric elliptic operators ⋮ Uniform rectifiability and \(\varepsilon\)-approximability of harmonic functions in \(L^p\) ⋮ Closures of finitely generated ideals in Hardy spaces ⋮ The absolute continuity of elliptic measure revisited ⋮ Quantitative Fatou theorems and uniform rectifiability ⋮ Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators ⋮ Exponential square integrability for non-tangential limits of certain smooth functions ⋮ A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations ⋮ On finitely generated closed ideals in \(H^{\infty}(D)\) ⋮ On the growth of subharmonic functions along paths ⋮ Weighted estimates of singular integrals and their applications
Cites Work
- BMO functions and the \(\overline\partial\)-equation
- \(H^p\) spaces of several variables
- Interpolations by bounded analytic functions and the corona problem
- The radial variation of analytic functions
- Integral Inequalities of Poincare and Wirtinger Type for BV Functions
- Weighted norm inequalities for the Lusin area integral and the nontangential maximal functions for functions harmonic in a Lipschitz domain
- Unnamed Item
- Unnamed Item