4.2 Article

Product-Type Operators from Hardy Spaces to Bloch-Type Spaces and Zygmund-Type Spaces

Journal

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
Volume 43, Issue 10, Pages 1240-1264

Publisher

TAYLOR & FRANCIS INC
DOI: 10.1080/01630563.2022.2097693

Keywords

Bloch-type space; boundedness; compactness; Hardy space; product-type operator; Zygmund-type space

Funding

  1. National Natural Science Foundation of China [12101188]
  2. Doctoral Fund of Henan Institute of Technology [KQ2101]

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This article characterizes the boundedness and compactness of a class of product-type operators from Hardy spaces to Bloch-type space and Zygmund-type space. The norm of these operators is also estimated.
The boundedness and compactness of a class of product-type operators T-psi 1,psi 2,phi(n) from Hardy spaces to (little) Bloch-type space and (little) Zygmund-type space are characterized in this article. Meanwhile, we also estimate the norm of T-psi 1,psi 2,phi(n).

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