Composition operator on F(p,q,s) spaces in the unit ball of

References

• Zhao RH. On a general family of function spaces. Ann Acad Sci Fenn Math Diss. 1996;105:1–56.
   Web of Science ®Google Scholar
• Jiang LJ, He YZ. Composition operators from βα to F(p, q, s). Acta Math Sci Ser B. 2003;23(2):252–260.
   Web of Science ®Google Scholar
• Zhu KH. Spaces of holomorphic functions in the unit ball. New York: Springer-Verlag; 2005.
   Google Scholar
• Zhou ZH, Chen RY. Weighted composition operator from F(p, q, s) to Bloch type spaces on the unit ball. Int J Math. 2008;19(8):899–926.
   Web of Science ®Google Scholar
• Zhang XJ, He CZ, Cao FF. The equivalent norms of F(p, q, s) space in Cn. J Math Anal Appl. 2013;401(2):601–610.
   Web of Science ®Google Scholar
• Yang WF. Generalized weighted composition operators from the F(p, q, s) space to the Bloch-type space. Appl Math Comput. 2012;218(9):4967–4972.
   Web of Science ®Google Scholar
• Ye SL. Weighted composition operators from F(p, q, s) into logarithmic Bloch space. J Kore Math Soc. 2008;45(4):977–991.
   Web of Science ®Google Scholar
• Yang WF. Volterra composition operators from F(p, q, s) spaces to Bloch-type spaces. Appl Math Comput. 2010;217(6):2513–2519.
   Web of Science ®Google Scholar
• Zhang MX, Xu W. Composition operators on α-Bloch spaces of the unit ball. Acta Math Sin English Ser. 2007;23(11):1991–2002.
   Web of Science ®Google Scholar
• Liu JC, Li JX, Zhang XJ. Characterizations of composition operators between Bloch type spaces on the unit ball again. Acta Math Sin. 2007;50(3):711–720. (in Chinese).
   Google Scholar
• Chen HH, Gauthier P. Composition operators on μ-Bloch spaces. Cana J Math. 2009;61(1): 50–75.
   Web of Science ®Google Scholar
• Zhang XJ, Li JX. Composition operators between μ-Bloch spaces on the unit ball of Cn. Acta Math Sci Ser A. 2009;29(3):573–583. (in Chinese).
   Google Scholar
• Dai JN. Composition operators on Zygmund spaces of the unit ball. J Math Anal Appl. 2012;394(2):696–705.
   Web of Science ®Google Scholar
• Zhang XJ, Li SL. Composition operators on the normal weight Zygmund spaces in high dimensions. Complex Var Elliptic Equ. 2019;64(11):1932–1953.
   Web of Science ®Google Scholar
• Zhu KH. Compact composition operators on Bergman spaces of the unit ball. Houston J Math. 2007;33(1):273–283.
   Web of Science ®Google Scholar
• Zhang XJ, Xu S, Li SL, et al. Composition operators on F(p, q, s) type spaces in the unit ball of Cn. Complex Anal Oper Theory. 2018;12(1):141–154.
   Web of Science ®Google Scholar
• Xiao JB, Zhang XJ, Shang QL, et al. Decomposition and characterization of the F(p, q, s) space on the unit ball. Acta Math Sin. 2018;61(6):1037–1048. (in Chinese).
   Google Scholar
• Zhang XJ, Guo YT, Shang QL, et al. The Gleason's problem on F(p, q, s) type spaces in the unit ball of Cn. Complex Anal Oper Theory. 2018;12(5):1251–1265.
   Web of Science ®Google Scholar
• Rudin W. Function theory in the unit ball of ${\mathbb{C}}^n$. New York: Springer-Verlag; 1980.
   Google Scholar
• Zhang XJ, Li SL, Shang QL, et al. An integral estimate and the equivalent norms on F(p, q, s, k) spaces in the unit ball. Acta Math Sci Ser B. 2018;38(6):1861–1880.
   Web of Science ®Google Scholar
• Cowen CC, MacCluer BD. Composition operators on spaces of analytic functions. Boca Raton: CRC Press; 1995.
   Google Scholar
• Zhang XJ, Xiao JB. Weighted composition operator between two analytic function spaces. Adv Math. 2006;35(4):453–462. (China).
   Google Scholar
• Liang YX, Zhou ZH, Chen RY. Product of extended Cesàro operator and composition operator from the logarithmic Bloch-type space to F(p, q, s) space on the unit ball. J Comput Anal Appl. 2013;15(3):432–440.
   Google Scholar
• Liang YX. On an integral-type operator from a weighted-type space to F(p, q, s) on the unit ball. Complex Var Elliptic Equ. 2015;60(2):282–291.
   Web of Science ®Google Scholar
• Zhang XJ, Xiao JB, Hu ZH, et al. Equivalent characterization and application of F(p, q, s) space in Cn. Acta Math Sin. 2011;54(6):1029–1042. (in Chinese).
   Google Scholar
• Li SL, Zhang XJ, Xu S. The equivalent characterization of F(p, q, s) space on bounded symmetric domains of Cn. Acta Math Sci Ser B. 2017;37(6):1791–1802.
   Web of Science ®Google Scholar
• Xiao J. Composition operators associated with Bloch-type spaces. Complex Var Elliptic Equ. 2001;46(2):109–121.
   Google Scholar
• Liang XY, Wang CJ, Zhou ZH. Weighted composition operators from Zygmund spaces to Bloch spaces on the unit ball. Ann Polon Math. 2015;114(2):101–114.
   Web of Science ®Google Scholar
• Li SX, Stević S. Generalized composition operators on Zygmund spaces and Bloch type spaces. J Math Anal Appl. 2008;338(2):1282–1295.
   Web of Science ®Google Scholar
• Wulan H, Zhu KH. Möbius invariant $Q_K$ spaces. Cham: Springer-Nature; 2017.
   Google Scholar