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UNITARY, SELF–ADJOINT AND J −SYMMETRIC WEIGHTED COMPOSITION OPERATORS ON FOCK–SOBOLEV SPACES.
- Source :
- Operators & Matrices; Dec2022, Vol. 16 Issue 4, p1139-1154, 16p
- Publication Year :
- 2022
-
Abstract
- In this paper, we characterize the boundedness and compactness for weighted composition operators on the Fock-Sobolev space F <superscript>p,m</superscript>(C<superscript>n</superscript>), 0 < p < ∞. We prove that no nontrivial unitary or self-adjoint weighted composition operators exist on F<superscript>2,m</superscript>(C<superscript>n</superscript>) when m ≥ 1. As an application, we also prove that there exist only trivial J -symmetric weighted composition operators on F<superscript>2,m</superscript>(C<superscript>n</superscript>) when m ≥ 1. [ABSTRACT FROM AUTHOR]
- Subjects :
- COMPOSITION operators
UNITARY operators
Subjects
Details
- Language :
- English
- ISSN :
- 18463886
- Volume :
- 16
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Operators & Matrices
- Publication Type :
- Academic Journal
- Accession number :
- 161907505
- Full Text :
- https://doi.org/10.7153/oam-2022-16-74