과제정보
The authors would like to thank the referee for his\her helpful comments and valuable suggestions for improving this manuscript.
참고문헌
- D. Alpay, F. Colombo, and I. Sabadini, Slice hyperholomorphic Schur analysis, Operator Theory: Advances and Applications, 256, Birkhauser/Springer, Cham, 2016. https://doi.org/10.1007/978-3-319-42514-6
- J. Arazy, S. D. Fisher, and J. Peetre, Mobius invariant function spaces, J. Reine Angew. Math. 363 (1985), 110-145. https://doi.org/10.1007/BFb0078341
- N. Arcozzi, R. Rochberg, and E. Sawyer, Carleson measures for analytic Besov spaces, Rev. Mat. Iberoamericana 18 (2002), no. 2, 443-510. https://doi.org/10.4171/RMI/326
- N. Arcozzi and G. Sarfatti, From Hankel operators to Carleson measures in a quaternionic variable, Proc. Edinb. Math. Soc. (2) 60 (2017), no. 3, 565-585. https://doi.org/10.1017/S0013091516000626
- C. M. P. Castillo Villalba, F. Colombo, J. Gantner, and J. O. Gonzalez-Cervantes, Bloch, Besov and Dirichlet spaces of slice hyperholomorphic functions, Complex Anal. Oper. Theory 9 (2015), no. 2, 479-517. https://doi.org/10.1007/s11785-014-0380-4
- F. Colombo, I. Sabadini, and D. C. Struppa, Noncommutative functional calculus, Progress in Mathematics, 289, Birkhauser/Springer Basel AG, Basel, 2011. https://doi.org/10.1007/978-3-0348-0110-2
- F. Colombo, I. Sabadini, and D. C. Struppa, Entire slice regular functions, Springer Briefs in Mathematics, Springer, Cham, 2016. https://doi.org/10.1007/978-3-319-49265-0
- C. C. Cowen and B. D. MacCluer, Composition operators on spaces of analytic functions, Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1995.
- J. Gantner, J. O. Gonzalez-Cervantes, and T. Janssens, BMO- and VMO-spaces of slice hyperholomorphic functions, Math. Nachr. 290 (2017), no. 14-15, 2259-2279. https://doi.org/10.1002/mana.201600379
- G. Gentili, C. Stoppato, and D. C. Struppa, Regular functions of a quaternionic variable, Springer Monographs in Mathematics, Springer, Heidelberg, 2013. https://doi.org/10.1007/978-3-642-33871-7
- P. Lian and Y. Liang, Weighted composition operator on quaternionic Fock space, Banach J. Math. Anal. 15 (2021), no. 1, Paper No. 7, 20 pp. https://doi.org/10.1007/s43037-020-00087-6
- G. Ren and X. Wang, Slice regular composition operators, Complex Var. Elliptic Equ. 61 (2016), no. 5, 682-711. https://doi.org/10.1080/17476933.2015.1113270
- I. Sabadini and A. Saracco, Carleson measures for Hardy and Bergman spaces in the quaternionic unit ball, J. Lond. Math. Soc. (2) 95 (2017), no. 3, 853-874. https://doi.org/10.1112/jlms.12035
- J. H. Shapiro, Composition operators and classical function theory, Universitext: Tracts in Mathematics, Springer-Verlag, New York, 1993. https://doi.org/10.1007/978-1-4612-0887-7
- M. Tjani, Compact composition operators on some Moebius invariant Banach spaces, ProQuest LLC, Ann Arbor, MI, 1996.
- M. Tjani, Compact composition operators on Besov spaces, Trans. Amer. Math. Soc. 355 (2003), no. 11, 4683-4698. https://doi.org/10.1090/S0002-9947-03-03354-3
- K. H. Zhu, Operator theory in function spaces, Monographs and Textbooks in Pure and Applied Mathematics, 139, Marcel Dekker, Inc., New York, 1990.