Fock空间中Volterra型算子与复合算子乘积的差异

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2025-03-07 DOI:10.1007/s40306-025-00563-x

Pham The Hao, Pham Trong Tien

引用次数: 0

摘要

我们刻画了对于每种\(p, q \in (0, \infty ]\)，不同Fock空间\(\mathcal {F}^p(\mathbb {C})\)和\(\mathcal {F}^q(\mathbb {C})\)之间的Volterra积分算子\(V_g\) （Volterra伴算子\(J_g\)）和复合算子\(C_{\varphi }\)的积之差的有界性和紧性。

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Differences of Products of Volterra Type Operators and Composition Operators Between Fock Spaces

We characterize boundedness and compactness of the differences of products of Volterra integral operators \(V_g\) (Volterra companion operators \(J_g\)) and composition operators \(C_{\varphi }\) between different Fock spaces \(\mathcal {F}^p(\mathbb {C})\) and \(\mathcal {F}^q(\mathbb {C})\) for every \(p, q \in (0, \infty ]\).

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.