On some extremal problems for analytic functions with constraints on real or imaginary parts - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Book Sections Year : 2017

On some extremal problems for analytic functions with constraints on real or imaginary parts

Abstract

We study some approximation problems by functions in the Hardy space H 2 of the upper half-plane or by their real or imaginary parts, with constraint on their real or imaginary parts on the boundary. Situations where the criterion acts on subsets of the boundary or of horizontal lines inside the half-plane are considered. Existence and uniqueness results are established, together with novel solution formulas and techniques. As a by-product, we devise a regularized inversion scheme for Poisson and conjugate Poisson integral transforms.
Fichier principal
Vignette du fichier
Leblond-Ponomarev_corr.pdf (321.17 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01623281 , version 1 (26-10-2017)

Identifiers

Cite

Juliette Leblond, Dmitry Ponomarev. On some extremal problems for analytic functions with constraints on real or imaginary parts. Fabrizio Colombo; Irene Sabadini; Daniele C. Struppa; Mihaela B. Vajiac. Advances in Complex Analysis and Operator Theory: Festschrift in Honor of Daniel Alpay's 60th Birthday, Birkhauser, pp.219-236, 2017, ⟨10.1007/978-3-319-62362-7_8⟩. ⟨hal-01623281⟩
197 View
382 Download

Altmetric

Share

Gmail Facebook X LinkedIn More