On Some Extremal Functions and their Applications in the Theory of Analytic Functions of Several Complex Variables

Related Items (70)

Boundary behavior of extremal plurisubharmonic functions ⋮ Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures) ⋮ Meilleure approximation polynomiale et croissance des fonctions entières sur certaines variétés algébriques affines. (Best polynomial approximation and growth of entire functions on certain affine algebraic varieties) ⋮ Jackson's inequality in the complex plane and the Łojasiewicz-Siciak inequality of Green's function ⋮ Weighted regularity and two problems of Sadullaev on weighted regularity ⋮ Approximation properties of a multilayered feedforward artificial neural network ⋮ Semialgebraic sets and the Łojasiewicz-Siciak condition ⋮ Markov's inequality and polynomial mappings ⋮ Maximal convergence theorems for functions of squared modulus holomorphic type in \(\mathbb R^2\) and some applications ⋮ Polynomial inequalities, o-minimality and Denjoy-Carleman classes ⋮ Multidimensional intertwining Leja sequences and applications in bidimensional Lagrange interpolation ⋮ Geometry of holomorphic mappings and Hölder continuity of the pluricomplex Green function ⋮ On the volume of graded linear series and Monge-Ampère mass ⋮ Siciak's extremal function of non-UPC cusps. I. ⋮ Hölder continuity of solutions to the Monge-Ampère equations on compact Kähler manifolds ⋮ Capacity theory and arithmetic intersection theory ⋮ On the rate of polynomial approximations of holomorphic functions on convex compact sets ⋮ On configurations of points on the sphere and applications to approximation of holomorphic functions by Lagrange interpolants ⋮ Generalized order and best approximation of entire function in \(L^{p}\)-norm ⋮ Bernstein-Walsh type theorems for real analytic functions in several variables ⋮ Local approximation of operators ⋮ A note on weighted homogeneous Siciak-Zaharyuta extremal functions ⋮ Approximation of analytic sets with proper projection by algebraic sets ⋮ Extremal growth of polynomials ⋮ The Newton product of polynomial projectors. II: Approximation properties ⋮ Best polynomial approximation in \(L^p\)-norm and \((p, q)\)-growth of entire functions ⋮ Growth and approximation of generalized biaxially symmetric potentials in several complex variables ⋮ The Łojasiewicz-Siciak condition of the pluricomplex Green function ⋮ Markov's inequality and the existence of an extension operator for \(C^{\infty}\) functions ⋮ On the zeros of polynomials of best approximation ⋮ Generalized order and type of entire functions and best approximation in \(L^p\)-norm ⋮ Uniform approximation by discrete least squares polynomials ⋮ Characterization of Monge-Ampère measures with Hölder continuous potentials ⋮ Pseudo Leja sequences ⋮ Bernstein type theorems for compact sets in \({\mathbb{R}{}}^ n\) ⋮ On Lagrange polynomials and the rate of approximation of planar sets by polynomial Julia sets ⋮ Polynomial interpolation of holomorphic functions in \(\mathbb{C}\) and \(\mathbb{C}^ n\) ⋮ Generalized growth and best approximation of entire functions in \(L^p\) -norm in several complex variables ⋮ Approximation of holomorphic functions on compact subsets of \(\mathbb R^N\) ⋮ Joint Spectra and Analytic Set-Valued Functions ⋮ Intertwining unisolvent arrays for multivariate Lagrange interpolation ⋮ Nearly optimal meshes in subanalytic sets ⋮ A new constructive and elementary proof of a Bernstein-Walsh theorem, improved to infinite order convergence, for functions \(C^\infty\) in an intricate but smooth two-dimensional real domain ⋮ Polynomial convexity, special polynomial polyhedra and applications. ⋮ Analyticity and polynomial approximation in modular function spaces ⋮ The pluricomplex Poisson kernel for strongly convex domains ⋮ Rational approximation of functions with pluripolar singularity sets ⋮ Łojasiewicz-type inequalities in complex analysis ⋮ Metrics Associated with Extremal Plurisubharmonic Functions ⋮ On the behaviour of constants in some polynomial inequalities ⋮ Some applications of interpolating harmonic polynomials ⋮ The transfinite diameter and extremal points for harmonic polynomial interpolation ⋮ Probability and a Dirichlet problem for multiply superharmonic functions ⋮ Polynomial convexity, special polynomial polyhedra and the pluricomplex Green function for a compact set in \(\mathbb C^n\) ⋮ The asymptotic value of a singular integral related to the Cauchy-Hermite interpolation formula ⋮ Transfinite diameter and harmonic polynomial interpolation ⋮ Characterization of algebraic curves by Chebyshev quadrature ⋮ Multivariate polynomial interpolation and sampling in Paley-Wiener spaces ⋮ On the convergence of multivariable Lagrange interpolants ⋮ Multivariate Jackson inequality ⋮ Constants in Markov's and Bernstein inequality on a finite interval in \(\mathbb{R}\) ⋮ A criterion of algebraicity for Lelong classes and analytic sets ⋮ Norms of polynomials and capacities on Banach spaces ⋮ On the rapidly convergence in capacity of the sequence of holomorphic functions ⋮ Sur la frontière de Shilov des domaines de \({\mathbb{C}}^ n\) ⋮ Markov's inequality and \(C^{\infty}\) functions on sets with polynomial cusps ⋮ An estimate for the Siciak extremal function -- subanalytic geometry approach ⋮ Remez-type inequality on sets with cusps ⋮ Arithmetic capacities on \(\mathbb{P}^ N\) ⋮ Intrinsic capacities on compact Kähler manifolds

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