WEIGHTED DIFFERENTIATION SUPERPOSITION OPERATOR FROM H∞ TO nth WEIGHTED-TYPE SPACE

Authors

  • CHENG-SHI HUANG School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, P. R. China https://orcid.org/0009-0005-3174-762X
  • ZHI-JIE JIANG School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, P. R. China; South Sichuan Center for Applied Mathematics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, P. R. China https://orcid.org/0009-0005-3174-762X

Keywords:

Superposition operator; weighted differentiation superposition operator; H∞; nth weighted-type spaces; boundedness and compactness

Abstract

Let H(D) be the set of all analytic functions on the open unit disk D of C, u ∈ H(D) and φ an entire function on C. In this paper, we characterize the boundedness and compactness of the weighted differentiation superposition operator Dmu Sφ from H∞ to the nth weighted-type space

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Published

2024-01-20

How to Cite

CHENG-SHI HUANG, & ZHI-JIE JIANG. (2024). WEIGHTED DIFFERENTIATION SUPERPOSITION OPERATOR FROM H∞ TO nth WEIGHTED-TYPE SPACE. Journal of Computational Analysis and Applications (JoCAAA), 32(1), 72–84. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/42

Issue

Vol. 32 No. 1 (2024): JOCAAA

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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