References
- J. Barria and P. R. Halmos, Asymptotic Toeplitz operators, Trans. Amer. Math. Soc. 273 (1982), no. 2, 621-630. https://doi.org/10.1090/S0002-9947-1982-0667164-X
- M. D. Contreras and A. G. Hernandez-Diaz, Weighted composition operators on Hardy spaces, J. Math. Anal. Appl. 263 (2001), no. 1, 224-233. https://doi.org/10.1006/jmaa.2001.7610
- C. C. Cowen and B. D. MacCluer, Composition operators on spaces of analytic functions, Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1995.
- Z. Cuckovic and M. Nikpour, On the Toeplitzness of the adjoint of composition operators, J. Math. Anal. Appl. 408 (2013), no. 2, 541-546. https://doi.org/10.1016/j.jmaa.2013.06.030
- Z. Cuckovic and R. Zhao, Weighted composition operators between different weighted Bergman spaces and different Hardy spaces, Illinois J. Math. 51 (2007), no. 2, 479-498.
- R. G. Douglas, Banach Algebra Techniques in Operator Theory, second edition, Graduate Texts in Mathematics, 179, Springer-Verlag, New York, 1998.
- C. Duna, M. Gagne, C. Gu, and J. Shapiro, Toeplitzness of products of composition operators and their adjoints, J. Math. Anal. Appl. 410 (2014), no. 2, 577-584. https://doi.org/10.1016/j.jmaa.2013.08.029
- P. L. Duren, Theory of Hp spaces, Pure and Applied Mathematics, Vol. 38, Academic Press, New York, 1970.
- A. Feintuch, On asymptotic Toeplitz and Hankel operators, in The Gohberg anniversary collection, Vol. II (Calgary, AB, 1988), 241-254, Oper. Theory Adv. Appl., 41, Birkhauser, Basel, 1989.
- G. Gunatillake, Compact weighted composition operators on the Hardy space, Proc. Amer. Math. Soc. 136 (2008), no. 8, 2895-2899. https://doi.org/10.1090/S0002-9939-08-09247-2
- K. J. Izuchi, Y. Izuchi, and S. Ohno, Weighted composition operators on the space of bounded harmonic functions, Integral Equations Operator Theory 71 (2011), no. 1, 91-111. https://doi.org/10.1007/s00020-011-1886-z
-
S. Jung and E. Ko, On
$T_u$ -Toeplitzness of weighted composition operators on$H^2$ , Complex Var. Elliptic Equ. 60 (2015), no. 11, 1522-1538. https://doi.org/10.1080/17476933.2015.1033413 - R. A. Martinez-Avendano and P. Rosenthal, An introduction to operators on the Hardy- Hilbert space, Graduate Texts in Mathematics, 237, Springer, New York, 2007.
- F. Nazarov and J. H. Shapiro, On the Toeplitzness of composition operators, Complex Var. Elliptic Equ. 52 (2007), no. 2-3, 193-210. https://doi.org/10.1080/17476930601065342
- W. Rudin, Real and Complex Analysis, third edition, McGraw-Hill Book Co., New York, 1987.
- J. H. Shapiro, Composition Operators and Classical Function Theory, Universitext: Tracts in Mathematics, Springer-Verlag, New York, 1993.
- J. H. Shapiro, Every composition operator is (mean) asymptotically Toeplitz, J. Math. Anal. Appl. 333 (2007), no. 1, 523-529. https://doi.org/10.1016/j.jmaa.2006.10.054
-
J. H. Shapiro, Composition operators
$\heartsuit$ Toeplitz operators, in Five lectures in complex analysis, 117-139, Contemp. Math., 525, Amer. Math. Soc., Providence, RI, 2010. - K. H. Zhu, Operator Theory on Function Spaces, Monographs and Textbooks in Pure and Applied Mathematics, 139, Marcel Dekker, Inc., New York, 1990.