






Vol.4 , No. 6, Publication Date: Nov. 16, 2017, Page: 47-51
[1] | A. Kamal, Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt. |
[2] | T. I. Yassen, Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt. |
In this paper, we study the properties boundedness and compactness of product of extended Cesáro operator and composition operator from the Bloch-type spaces Bα to Qk (p,q) spaces on the unit ball of Cn Moreover, necessary and sucient conditions are given for The product of extended Cesáro operator and composition operator from the Bloch-type spaces Bα to Qk (p,q) spaces to be bounded and compact.
Keywords
Extended Cesáro Operator, Composition Operator, Boundedness and the Compactness
Reference
[01] | J. Arazy, D. Fisher and J. Peetre, Möbius invariant function spaces, J. Reine Angew. Math. 363 (1986), 110-145. |
[02] | R. Aulaskari and P. Lappan, Criteria for an analytic function to be Bloch and a harmonic or meromorphic function to be normal, Complex Analysis and its applications, Pitman Research Notes in Math. 305, Longman Scientific and Technical Harlow, (1994), 136-146. |
[03] | A. El-Sayed Ahmed and M. A. Bakhit, Composition operators on some holomorphic Banach function spaces, Math. Scand. 104 (2) (2009), 275-295. |
[04] | M. Essén, H. Wulan, and J. Xiao, Several function-theoretic characterizations of Möbius invariant |
[05] | Z. S. Fang, Z. H. Zhou, Extended Cesàro operators from weighted Bloch spaces to Zygmund spaces in the unit ball, J. Math. Anal. Appl. 359 (2) (2009) 499-507. |
[06] | Z. S. Fang, Z. H. Zhou, Extended Cesàro operators on BMOA spaces in the unit ball, J. Math. Inequal. 4 (1) (2010) 27-36. |
[07] | D. Gu, Extended Cesàro operators from logarithmic-type spaces to Bloch-type spaces, Abstr. Appl. Anal. 2009, 9p, Article ID 246521. |
[08] | Z. J. Hu, Extended Cesàro operators on mixed norm spaces, Proc. Amer. Math. Soc. 131 (7) (2003) 2171-2179. |
[09] | A. Kamal, A. El-Sayed Ahmed and T. I. Yassen, Quasi-metric spaces and composition operators on |
[10] | A. Kamal, and T. I. Yassen, Some Properties of Composition Operator Acting Between General Hyperbolic Type Spaces, Int. J. Math. Anal. Appl. 2 (2) (2015), 17-26. |
[11] | S. Li and H. Wulan, Composition operators on |
[12] | Yu-Xia Liang, Ze-Hua Zhou, Product of Extended Cesàro Operator and Composition Operator from Lipschitz Space to |
[13] | LÜ Xiao-fen, Weighted composition operators from |
[14] | J. Shi, Inequalities for the integral means of holomorphic function and their derivatives in the unit ball of |
[15] | S. Stevi |
[16] | M. Tjani, Compact composition operators on Besov spaces, Trans. Amer. Math. Soc. 355 (2003), 4683-4698. |
[17] | H. Wulan and J. Zhou, |
[18] | H. Wulan and Y. Zhang, Hadamard products and |
[19] | R. Zhao, On a general family of function spaces, Ann. Acad. Sci. Fenn. Series A I. Mathematica. Dissertationes. 105. Helsinki: Suomalainen Tiedeakatemia, (1996), 1-56. |
[20] | R. Zhao, On -Bloch functions and VMOA, Acta. Math. Sci, 3 (1996), 349 - 360. |