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Isometric weighted composition operators on the Fock space of $\mathbb{C}^N$
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This paper gives complete characterization for isometric wei\-ghted composition operators on the Fock space of $\mathbb{C}^N$. The main result shows that an isometric weighted composition operator on the Fock space of $\mathbb{C}^N$ is a unitary operator.
Abstract
This paper gives complete characterization for isometric wei\-ghted composition operators on the Fock space of $\mathbb{C}^N$. The main result shows that an isometric weighted composition operator on the Fock space of $\mathbb{C}^N$ is a unitary operator.
참고문헌 (14)
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- R. Kumar, "Recent advances in operator theory, operator algebras, and their applications", pp.157~167 (2005), Birkhauser
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- M. J. Mart´ın, "Isometries of the Bloch space among the composition operators", Bull. Lond. Math. Soc, 39(1), pp.151~155 (2007)
- M. J. Martın, "Recent Advances in Operator-related Function Theory", pp.133~138 (2006), Amer. Math. Soc.
- W. Rudin, "Function Theory in the Unit Ball of Cn" (1980), Springer-Verlag
- L. Zhao, "Unitary weighted composition operators on the Fock space of Cn", Complex Anal. Oper. Theory, 8(2), pp.581~590 (2014)
- L. Zhao, "Invertible weighted composition operators on the Fock space of CN", J. Funct. Spaces, 2015, pp.5~ (2015)
- L. Zhao, "A note on invertible weighted composition operators on the Fock pace of CN", J. Math. Res. Appl, 36(3), pp.359~362 (2016)
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