BMO solvability and the \(A_{\infty}\) condition for elliptic operators
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Publication:2430509
DOI10.1007/s12220-010-9142-3zbMath1215.42029arXiv1007.5496OpenAlexW2131855726MaRDI QIDQ2430509
Martin Dindoš, Carlos E. Kenig, Jill Pipher
Publication date: 6 April 2011
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.5496
Boundary value problems for second-order elliptic equations (35J25) Harmonic analysis and PDEs (42B37)
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Cites Work
- Unnamed Item
- Unnamed Item
- Approximation of harmonic functions
- Area integral estimates for elliptic differential operators with non- smooth coefficients
- The theory of weights and the Dirichlet problem for elliptic equations
- Factorization theorems for Hardy spaces in several variables
- Estimates of harmonic measure
- The Neumann problem for elliptic equations with non-smooth coefficients
- A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations
- \(H^p\) spaces of several variables
- The Dirichlet problem for parabolic operators with singular drift terms
- Continuity of Solutions of Parabolic and Elliptic Equations
- Weighted norm inequalities for the Lusin area integral and the nontangential maximal functions for functions harmonic in a Lipschitz domain
- Dirichlet Problem in Lipschitz Domains with BMO Data
- Weighted norm inequalities for maximal functions and singular integrals
- Functions of Vanishing Mean Oscillation
- On Weak Convergence in H 1 ( R d )
- The Dirichlet problem for elliptic equations with drift terms