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Izuchi, Kei Ji; Nguyen, Quang Dieu; Ohno, Shûichi. Composition Operators Induced by Analytic Maps to the Polydisk. Canadian journal of mathematics, Tome 64 (2012) no. 6, pp. 1329-1340. doi: 10.4153/CJM-2011-073-3
@article{10_4153_CJM_2011_073_3,
author = {Izuchi, Kei Ji and Nguyen, Quang Dieu and Ohno, Sh\^uichi},
title = {Composition {Operators} {Induced} by {Analytic} {Maps} to the {Polydisk}},
journal = {Canadian journal of mathematics},
pages = {1329--1340},
year = {2012},
volume = {64},
number = {6},
doi = {10.4153/CJM-2011-073-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-073-3/}
}
TY - JOUR AU - Izuchi, Kei Ji AU - Nguyen, Quang Dieu AU - Ohno, Shûichi TI - Composition Operators Induced by Analytic Maps to the Polydisk JO - Canadian journal of mathematics PY - 2012 SP - 1329 EP - 1340 VL - 64 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-073-3/ DO - 10.4153/CJM-2011-073-3 ID - 10_4153_CJM_2011_073_3 ER -
%0 Journal Article %A Izuchi, Kei Ji %A Nguyen, Quang Dieu %A Ohno, Shûichi %T Composition Operators Induced by Analytic Maps to the Polydisk %J Canadian journal of mathematics %D 2012 %P 1329-1340 %V 64 %N 6 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-073-3/ %R 10.4153/CJM-2011-073-3 %F 10_4153_CJM_2011_073_3
[1] [1] Cowen, C. C. and Mac Cluer, B. D., Composition operators on spaces of analytic functions. Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1995. Google Scholar
[2] [2] Garnett, J. B., Bounded analytic functions. Revised First Ed., Graduate Texts in Mathematics, 236, Springer, New York, 2007. Google Scholar
[3] [3] Izuchi, K. and Yang, R., Strictly contractive compression on backward shift invariant subspaces over the torus. Acta Sci. Math. (Szeged) 70(2004), no. 1–2, 147–165. Google Scholar
[4] [4] Koo, H. and Smith, W., Composition operators between Bergman spaces of functions of several variables. In: Recent advances in operator-related function theory, Contemp. Math. 393, American Mathematical Society, Providence, RI, 2006, pp. 123–131. Google Scholar
[5] [5] Rudin, W., Function theory in polydiscs. W. A. Benjamin, New York-Amsterdam, 1969. Google Scholar
[6] [6] Shapiro, J. H., Composition operators and classical function theory. Universitext: Tracts in Mathematics, Springer-Verlag, New York, 1993. Google Scholar
[7] [7] Smith, W., Composition operators between Bergman and Hardy spaces. Trans. Amer. Math. Soc. 348(1996), no. 6, 2331–2348. Google Scholar | DOI
[8] [8] Stessin, M. and Zhu, K., Composition operators induced by symbols defined on a polydisk. J. Math Anal. Appl. 319(2006), no. 2, 815–829. Google Scholar | DOI
[9] [9] Thomas, P. J., Sampling sets for Hardy spaces of the disk. Proc. Amer. Math. Soc. 126(1998), no. 10, 2927–2932. Google Scholar | DOI
[10] [10] Zhu, K., Operator theory on function spaces. Second Ed., Mathematical Surveys and Monographs, 138, American Mathematical Society, Providence, RI, 2007. Google Scholar
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