التفاصيل البيبلوغرافية
| العنوان: |
UNITARY, SELF–ADJOINT AND J −SYMMETRIC WEIGHTED COMPOSITION OPERATORS ON FOCK–SOBOLEV SPACES. |
| المؤلفون: |
REN-YU CHEN, ZI-CONG YANG, ZE-HUA ZHOU |
| المصدر: |
Operators & Matrices; Dec2022, Vol. 16 Issue 4, p1139-1154, 16p |
| مصطلحات موضوعية: |
COMPOSITION operators, UNITARY operators |
| مستخلص: |
In this paper, we characterize the boundedness and compactness for weighted composition operators on the Fock-Sobolev space F p,m(Cn), 0 < p < ∞. We prove that no nontrivial unitary or self-adjoint weighted composition operators exist on F2,m(Cn) when m ≥ 1. As an application, we also prove that there exist only trivial J -symmetric weighted composition operators on F2,m(Cn) when m ≥ 1. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
