Bernstein- and Markov-type inequalities for rational functions

The goal of this paper is to study harmonic functions, conjugate harmonic functions, and related Hardy space H 1 for the Dunkl Laplacian ∆ (see Section 2).. We shall prove that

Bernstein functions are more likely called by probabilists ”Laplace exponents of infinite divisible non negative sub-distributions” (or ”Laplace exponents of subordinators”) and

Dans ce chapitre nous cherchons une borne inférieure de la plus petite valeur propre d'une matrice symétrique pentadiagonale d'une part et d'une matrice tridiagonale par blocs

Based on this result, models based on deterministic graph- ings – or equivalently on partial measured dynamical systems – can be defined based on realisability techniques using

Key Words and phrases: Circular function, hyperbolic function, Innite product, Bernoulli inequality.. See Mitrinovic and Pecaric [1] for

We prove the existence of (non compact) complex surfaces with a smooth rational curve embedded such that there does not exist any formal singular foliation along the curve..

We apply our Bernstein- type inequality to an effective Nevanlinna-Pick interpolation problem in the standard Dirichlet space, constrained by the H 2 -

Estimates of the norms of derivatives for polynomials and rational functions (in different functional spaces) is a classical topic of complex analysis (see surveys by A.A.