-selfadjoint product of a composition operator and a maximal differential operator on the Fock space. Issue 11 (2nd November 2022)

• Record Type: Journal Article
• Authors: Haji Shaabani, Mahmood; Baseri Nezhad, Mohammad; Viet Hai, Pham
• Is Part Of: Complex variables and elliptic equations. Volume 67:Issue 11(2022)
• Page Start: 2823
• Page End: 2833
• Publication Date: 2022-11-02
• Subjects: Fock space -- maximal differential operator -- composition operator -- weighted composition operator -- C-selfadjoint operator -- Hermitian; 47B33 -- 47B38 -- 47E99 -- 30D15; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2021.1975112
• Languages: English
• ISSNs: 1747-6933

Abstract

Abstract : In this paper, we are interested in operators arising from the product of a weighted composition operator and a maximal differential operator on the Fock space. Let T max and C u, φ denote a maximal differential operator and a weighted composition operator, respectively. We characterize some C -selfadjoint operators C u, φ T max with respect to special conjugations C . Moreover, we obtain a partial characterization of hermitian operator C φ T max .