5 papers
Complex symmetry in the Fock space of several variables
Pham Viet Hai, Pham Trong Tien
In this paper we study the complex symmetry in the several variable Fock space by using the techniques of weighted composition operators and semigroups. We characterize unbounded w…
Complex symmetric weighted composition operators on Bergman spaces and Lebesgue spaces
Pham Viet Hai, Osmar R. Severiano
In the paper, we investigate weighted composition operators on Bergman spaces of a half-plane. We characterize weighted composition operators which are hermitian and those which ar…
The Gradient descent method from the perspective of fractional calculus
Pham Viet Hai, Joel A. Rosenfeld
Motivated by gradient methods in optimization theory, we give methods based on -fractional derivatives of order in order to solve unconstrained optimization problems. The co…
Multi-valued weighted composition operators on Fock space
Pham Viet Hai, Mihai Putinar
Multivalued linear operators, also known as linear relations, are studied on a specific class of weighted, composition transforms on Fock space. Basic properties of this class of l…
Unbounded Weighted Composition Operators on Fock space
Pham Viet Hai
In this paper, we consider \emph{unbounded} weighted composition operators acting on Fock space, and investigate some important properties of these operators, such as $\calC$-selfa…