On products of some Toeplitz operators on polyanalytic Fock spaces.

Autor:	Casseli, Irène
Jazyk:	angličtina
Předmět:	články journal articles Sarason's problem polyanalytic function Toeplitz operator Fock space
Druh dokumentu:	Non-fiction
ISSN:	0011-4642
Abstrakt:	Abstract: The purpose of this paper is to study the Sarason's problem on Fock spaces of polyanalytic functions. Namely, given two polyanalytic symbols $f$ and $g$, we establish a necessary and sufficient condition for the boundedness of some Toeplitz products $ T_fT_{\bar g}$ subjected to certain restriction on $f$ and $g$. We also characterize this property in terms of the Berezin transform.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Plný text Full text from SpringerLink