The difference of weighted composition operators on Fock spaces (Q6631377)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The difference of weighted composition operators on Fock spaces |
scientific article; zbMATH DE number 7937516
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The difference of weighted composition operators on Fock spaces |
scientific article; zbMATH DE number 7937516 |
Statements
The difference of weighted composition operators on Fock spaces (English)
0 references
1 November 2024
0 references
The paper shows that the difference of two weighted composition operators from one Fock space \(F^p\) to another Fock space \(F^q\), where \(0<q<p<\infty\), is bounded if and only if each individual operator is bounded. This answers an open question posed by \textit{P. T. Tien} and \textit{L. H. Khoi} [Monatsh. Math. 188, No. 1, 183--193 (2019; Zbl 1508.47051)]. When \(p=q\), a similar result is proved for the difference of a weighted composition operator and a weighted composition-differential operator.
0 references
Fock spaces
0 references
weighted composition operators
0 references
