SCHWARZ-PICK TYPE INEQUALITIES FROM AN OPERATOR THEORETICAL POINT OF VIEW

Badea, Catalin; Renard, Axel

Document type :

Pré-publication ou Document de travail

Permalink :

http://hdl.handle.net/20.500.12210/121363

Title :

SCHWARZ-PICK TYPE INEQUALITIES FROM AN OPERATOR THEORETICAL POINT OF VIEW

Author(s) :

Badea, Catalin [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]
Renard, Axel [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

English keyword(s) :

Schwarz-Pick inequalities
von Neumann inequality

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

We use (versions of) the von Neumann inequality for Hilbert space contractions to prove several Schwarz-Pick type inequalities. Specifically, we derive an alternate proof for a multi-point Schwarz-Pick inequality by Beardon ...
Show more >We use (versions of) the von Neumann inequality for Hilbert space contractions to prove several Schwarz-Pick type inequalities. Specifically, we derive an alternate proof for a multi-point Schwarz-Pick inequality by Beardon and Minda, along with a generalized version for operators. Connections with model spaces and Peschl’s invariants are established. Finally, Schwarz-Pick inequalities for higher order derivatives are discussed.Show less >

Language :

Anglais

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :