Regularity of the Siciak-Zaharjuta extremal function on compact Kähler manifolds

Kähler manifolds (32Q15) Complex Monge-Ampère operators (32W20) Analysis on CR manifolds (32V20) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Cites Work

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Equidistribution estimates for Fekete points on complex manifolds
Jackson's inequality in the complex plane and the Łojasiewicz-Siciak inequality of Green's function
Hölder continuity of the Green function and Markov brothers' inequality
Degenerate complex Monge-Ampère equations
Fekete points and convergence towards equilibrium measures on complex manifolds
Regularity of envelopes in Kähler classes
A new capacity for plurisubharmonic functions
Intrinsic capacities on compact Kähler manifolds
Growth of balls of holomorphic sections and energy at equilibrium
Comparison of two capacities in ${\mathbb{C}}^ n$
Markov's inequality and $C^{\infty}$ functions on sets with polynomial cusps
Semianalytic and subanalytic sets
A local property of L-regular sets
Polynomial interpolation of holomorphic functions in $\mathbb{C}$ and $\mathbb{C}^ n$
Equivalence of the global and local Markov inequalities in the complex plane
Optimal regularity of plurisubharmonic envelopes on compact Hermitian manifolds
Stability and regularity of solutions of the Monge-Ampère equation on Hermitian manifolds
Subextension of plurisubharmonic functions with weak singularities
The Dirichlet problem for the Monge-Ampère equation on Hermitian manifolds with boundary
Stability and Hölder regularity of solutions to complex Monge-Ampère equations on compact Hermitian manifolds
Plurisubharmonic envelopes and supersolutions
Hölder continuous solutions to Monge-Ampère equations
Approximation polynomiale de fonctions $C^ \infty$ et analytiques
From Monge-Ampère equations to envelopes and geodesic rays in the zero temperature limit
Geometry of holomorphic mappings and Hölder continuity of the pluricomplex Green function
Generalized Monge–Ampère Capacities
Pluriregular compacts in ℙⁿ
Hölder regularity of generic manifold
On regularization of plurisubharmonic functions on manifolds
On Some Extremal Functions and their Applications in the Theory of Analytic Functions of Several Complex Variables
Extremal plurisubharmonic functions in $C^N$
Siciak's extremal function in complex and real analysis
Regularity of certain sets in Cⁿ
Equidistribution rate for Fekete points on some real manifolds
Equidistribution speed for Fekete points associated with an ample line bundle
Hölder continuous solutions to Monge-Ampère equations
The complex Monge-Ampère equation and pluripotential theory
Bergman kernel functions associated to measures supported on totally real submanifolds