Binormal Weighted Composition Operators on the Fock Space
The aim of this paper is to obtain the sufficient and necessary conditions for weighted composition operators uCφ with φz=az+b a≤1, uz=ced¯z, where a,b,c,d∈ℂ, to be binormal or quasinormal on the Fock space F2. Surprisingly, the normality, quasinormality, and binormality of the above weighted compos...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/jofs/1963592 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849335821887340544 |
|---|---|
| author | Cao Jiang Shi-an Han |
| author_facet | Cao Jiang Shi-an Han |
| author_sort | Cao Jiang |
| collection | DOAJ |
| description | The aim of this paper is to obtain the sufficient and necessary conditions for weighted composition operators uCφ with φz=az+b a≤1, uz=ced¯z, where a,b,c,d∈ℂ, to be binormal or quasinormal on the Fock space F2. Surprisingly, the normality, quasinormality, and binormality of the above weighted composition operators uCφ are equivalent for a<1; however, there exist non-normal binormal weighted composition operators for a=1. |
| format | Article |
| id | doaj-art-1e83ca0fd26c453cb4765feaf92b4030 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-1e83ca0fd26c453cb4765feaf92b40302025-08-20T03:45:10ZengWileyJournal of Function Spaces2314-88882025-01-01202510.1155/jofs/1963592Binormal Weighted Composition Operators on the Fock SpaceCao Jiang0Shi-an Han1School of SciencesSchool of ScienceThe aim of this paper is to obtain the sufficient and necessary conditions for weighted composition operators uCφ with φz=az+b a≤1, uz=ced¯z, where a,b,c,d∈ℂ, to be binormal or quasinormal on the Fock space F2. Surprisingly, the normality, quasinormality, and binormality of the above weighted composition operators uCφ are equivalent for a<1; however, there exist non-normal binormal weighted composition operators for a=1.http://dx.doi.org/10.1155/jofs/1963592 |
| spellingShingle | Cao Jiang Shi-an Han Binormal Weighted Composition Operators on the Fock Space Journal of Function Spaces |
| title | Binormal Weighted Composition Operators on the Fock Space |
| title_full | Binormal Weighted Composition Operators on the Fock Space |
| title_fullStr | Binormal Weighted Composition Operators on the Fock Space |
| title_full_unstemmed | Binormal Weighted Composition Operators on the Fock Space |
| title_short | Binormal Weighted Composition Operators on the Fock Space |
| title_sort | binormal weighted composition operators on the fock space |
| url | http://dx.doi.org/10.1155/jofs/1963592 |
| work_keys_str_mv | AT caojiang binormalweightedcompositionoperatorsonthefockspace AT shianhan binormalweightedcompositionoperatorsonthefockspace |