Extremal functions and best approximate formulas for the Hankel-type Fock space

Fethi Soltani

doi:10.56754/0719-0646.2602.303

DOI:

https://doi.org/10.56754/0719-0646.2602.303

Abstract

In this paper we recall some properties for the Hankel-type Fock space \(\mathscr{F}_{\alpha,\ast}(\mathbb{C}^d)\). This space was introduced by Cholewinsky in 1984 and plays a background to our contribution. Especially, we examine the extremal functions for the difference operator \(D\), and we deduce best approximate inversion formulas for the operator \(D\) on the the Hankel-type Fock space \(\mathscr{F}_{\alpha,\ast}(\mathbb{C}^d)\).

Keywords

Analytic functions , Hankel-type Fock space , extremal functions

Mathematics Subject Classification:

30H20 , 32A15

Fethi Soltani Faculté des Sciences de Tunis, Laboratoire d’Analyse Mathématique et Applications LR11ES11, Université de Tunis El Manar, Tunis 2092, Tunisia – Ecole Nationale d’Ingénieurs de Carthage, Université de Carthage, Tunis 2035, Tunisia. https://orcid.org/0000-0001-7519-0994

Pages: 303–315
Date Published: 2024-07-30
Vol. 26 No. 2 (2024)

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