Characterization and semiadditivity of the $\mathcal C^1$-harmonic capacity
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Publication:3574788
DOI10.1090/S0002-9947-10-05105-6zbMath1200.31001OpenAlexW1826444578MaRDI QIDQ3574788
Xavier Tolsa, Aleix Ruiz de Villa
Publication date: 2 July 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-10-05105-6
Related Items (7)
The precise representative for the gradient of the Riesz potential of a finite measure ⋮ On \(C^1\)-approximability of functions by solutions of second order elliptic equations on plane compact sets and \(C\)-analytic capacity ⋮ A dual characterization of the \(\mathcal C^1\) harmonic capacity and applications ⋮ Two problems on approximation by solutions of elliptic systems on compact sets in the plane ⋮ Removable sets for the flux of continuous vector fields ⋮ On the semiadditivity of the capacities associated with signed vector valued Riesz kernels ⋮ Criteria for -approximability of functions on compact sets in , , by solutions of second-order homogeneous elliptic equations
Cites Work
- Painlevé's problem and the semiadditivity of analytic capacity.
- The \(Tb\)-theorem on non-homogeneous spaces.
- On the analytic capacity and curvature of some Cantor sets with non-\(\sigma\)-finite length
- On geometric properties of harmonic \(\text{Lip}_ 1\)-capacity
- $ C^1$-approximation and extension of subharmonic functions
- Riesz transforms and harmonic Lip1-capacity in Cantor sets
- The semiadditivity of continuous analytic capacity and the inner boundary conjecture
- A proof of the weak \((1,1)\) inequality for singular integrals with non doubling measures based on a Calderón-Zygmund decomposition
- Littlewood-Paley theory and the \(T(1)\) theorem with non-doubling measures
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