Composition Operators on NK(p, q)-Type Spaces on the Unit Ball

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DOI: https://doi.org/10.28924/2291-8639-21-2023-81
Published: Aug 4, 2023
Cite as:
H. Gissyr, M. A. Bakhit, Composition Operators on NK(p, q)-Type Spaces on the Unit Ball, Int. J. Anal. Appl., 21 (2023), 81.

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H. Gissyr, M. A. Bakhit

Abstract

We describe the boundedness and compactness of the composition operators Cϕ acting in NK(p,q) on the open unit ball B.

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References

  1. M.A. Bakhit, M. Aljuaid, Basic Properties of NK(p,q) Type Spaces With Hadamard Gap Series in the Unit Ball of Cn, Res. Math. 9 (2022), 2091724. https://doi.org/10.1080/27684830.2022.2091724.
  2. J. Dai, C. Ouyang, Composition Operators Between Bloch Type Spaces in the Unit Ball, Acta Math. Sci. 34 (2014), 73-81. https://doi.org/10.1016/s0252-9602(13)60127-7.
  3. J.M. Fan, Y.F. Lu, Y.X. Yang, Difference of Composition Operators on Some Analytic Function Spaces, Acta. Math. Sin.-English Ser. 37 (2021), 1384-1400. https://doi.org/10.1007/s10114-021-0480-9.
  4. J.H. Shapiro, Composition Operators and Classical Function Theory, Springer New York, 1993. https://doi.org/10.1007/978-1-4612-0887-7.
  5. W. Rudin, Function Theory in the Unit Ball of Cn, Springer, Berlin, 2008. https://doi.org/10.1007/978-3-540-68276-9.
  6. H. Wulan, J. Zhou, QK Type Spaces of Analytic Functions, J. Funct. Spaces Appl. 4 (2006), 73-84. https://doi.org/10.1155/2006/910813.
  7. H. Wulan, and J. Zhou, The Higher Order Derivatives of QK Type Spaces, J. Math. Anal. Appl. 332 (2007), 1216-1228. https://doi.org/10.1016/j.jmaa.2006.10.082.
  8. S. Xu, X. Zhang, Composition Operator on F (p, q, s) Spaces in the Unit Ball of Cn, Complex Var. Elliptic Equ. (2022). https://doi.org/10.1080/17476933.2022.2142783.
  9. X. Zhang, S. Xu, S. Li and J. Xiao, Composition operators on F (p, q, s) type spaces in the unit ball of Cn, Complex Anal. Oper. Theory. 12 (2016), 141-154. https://doi.org/10.1007/s11785-016-0610-z.
  10. X. Zhu, Products of Differentiation, Composition and Multiplication From Bergman Type Spaces to Bers Type Spaces, Integral Transforms Spec. Funct. 18 (2007), 223-231. https://doi.org/10.1080/10652460701210250.
  11. K. Zhu, Spaces of Holomorphic Functions in the Unit Ball, Springer, New York, 2005. https://doi.org/10.1007/0-387-27539-8.
  12. K. Zhu, Operator Theory in Function Spaces, Second Edition, Mathematical Surveys and Monographs, Vol. 138, American Mathematical Society, Providence, Rhode Island, 2007.