References
-
R. F. Allen and F. Colonna, On the isometric composition operators on the Bloch space in
$C^n$ , J. Math. Anal. Appl. 355 (2009), no. 2, 675-688. https://doi.org/10.1016/j.jmaa.2009.02.023 -
J. Bonet, M. Lindstrom, and E. Wolf, Isometric weighted composition operators on weighted Banach spaces of type
$H^{\infty}$ , Proc. Amer. Math. Soc. 136 (2008), no. 12, 4267-4273. https://doi.org/10.1090/S0002-9939-08-09631-7 - L. Feng and L. Zhao, A note on weighted composition operators on the Fock space, Commun. Math. Res. 31 (2015), no. 3, 281-284.
-
F. Forelli, The isometries of
$H^p$ , Canad. J. Math. 16 (1964), 721-728. https://doi.org/10.4153/CJM-1964-068-3 - C. J. Kolaski, Isometries of weighted Bergman spaces, Canad. J. Math. 34 (1982), no. 4, 910-915. https://doi.org/10.4153/CJM-1982-063-5
- R. Kumar and J. R. Partington, Weighted composition operators on Hardy and Bergman spaces, Recent advances in operator theory, operator algebras, and their applications, 157-167, Operator Theory: Advances and Applications 153, Birkhauser, Basel, 2005.
- T. Le, Normal and isometric weighted composition operators on the Fock space, Bull. Lond. Math. Soc. 46 (2014), no. 4, 847-856. https://doi.org/10.1112/blms/bdu046
- M. J. Martin and D. Vukotic, Isometries of the Dirichlet space among the composition operators, Proc. Amer. Math. Soc. 134 (2006), no. 6, 1701-1705. https://doi.org/10.1090/S0002-9939-05-08182-7
- M. J. Martin and D. Vukotic, Isometries of the Bloch space among the composition operators, Bull. Lond. Math. Soc. 39 (2007), no. 1, 151-155. https://doi.org/10.1112/blms/bdl012
- M. J. Martin and D. Vukotic, Isometries of some classical function spaces among the composition operators, Recent Advances in Operator-related Function Theory, 133-138, Contemporary Mathematics, 393, Amer. Math. Soc., Providence, RI, 2006.
-
W. Rudin, Function Theory in the Unit Ball of
${\mathbb{C}}^n$ , New-York, Springer-Verlag, 1980. -
L. Zhao, Unitary weighted composition operators on the Fock space of
${\mathbb{C}}^n$ , Complex Anal. Oper. Theory 8 (2014), no. 2, 581-590. https://doi.org/10.1007/s11785-013-0313-7 -
L. Zhao, Invertible weighted composition operators on the Fock space of
${\mathbb{C}}^N$ , J. Funct. Spaces 2015 (2015), Art. ID 250358, 5 pp. -
L. Zhao, A note on invertible weighted composition operators on the Fock pace of
${\mathbb{C}}^N$ , J. Math. Res. Appl. 36 (2016), no. 3, 359-362.
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