Linear Combination of Two Composition Operators Between Different Fock Spaces

Vietnam Journal of Mathematics - Tập 50 - Trang 151-159 - 2021
Pham Thi Lieu1, Dinh Thi Thu2,3, Pham Trong Tien2,4
1People’s Police University of Technology and Logistics, Bac Ninh, Vietnam
2Faculty of Mathematics, Mechanics and Informatics, University of Science, Vietnam National University, Hanoi, Vietnam
3Department of Basic Sciences, Hung Yen University of Technology and Education, Hung Yen, Viet Nam
4TIMAS, Thang Long University, Hanoi, Vietnam

Tóm tắt

We investigate boundedness and compactness of linear combinations of two composition operators acting between different Fock spaces in several variables.

Tài liệu tham khảo

Choe, B.R., Izuchi, K.H., Koo, H.: Linear sums of two composition operators on the Fock spaces. J. Math. Anal. Appl. 369, 112–119 (2010) Carswell, B., MacCluer, B.D., Schuster, A.: Composition operators on the Fock space. Acta Sci. Math. 69, 871–887 (2003) Cowen, C.C., MacCluer, B.D.: Composition Operators on Spaces of Analytic Functions. Studies in Advanced Mathematics. CRC Press, Boca Raton (1995) Dai, J.: Topological components of the space of composition operators on Fock spaces. Complex Anal. Oper. Theor. 9, 201–212 (2015) Hosokawa, T., Ohno, S.: Differences of composition operators on the Bloch spaces. J. Oper. Theor. 57, 229–242 (2007) Horn, R., Johnson, C.: Matrix Analysis. Cambridge University Press, Cambridge (1990) Moorhouse, J.: Compact differences of composition operators. J. Funct. Anal. 219, 70–92 (2005) Shapiro, J.H.: Compositions Operators and Classical Function Theory. Springer, New York (1993) Tien, P.T., Khoi, L.H.: Differences of weighted composition operators between the Fock spaces. Monatsh. Math. 188, 183–193 (2019) Tien, P.T., Khoi, L.H.: Weighted composition operators between Fock spaces in several variables. Math. Nachr. 293, 1200–1220 (2020)