Weighted Composition Operators between the Bloch Type Space and the Hardy Space on the Unit Ball of Complex Banach Spaces

Abstract

Let X be a finite or infinite dimensional complex Banach space. We characterize the bounded weighted composition operators between the Bloch type space and the Hardy space on the unit ball of X, extending several known results for finite dimensional domains.

Keywords:

• Banach spaces
• Bloch type space
• Hardy space
• unit ball
• weighted composition operator

MATHEMATICS SUBJECT CLASSIFICATION:

• Primary 47B38
• 32A18
• Secondary 46E50
• 46G20

Additional information

Funding

Supported by the Natural Science Foundation of China (Grant Nos. 11771184, 11771188), Basic Research Program of Jiangsu Province (Grant No. BK20210380) and High Level Personnel Project of Jiangsu Province of China (Grant No. JSSCBS20210277).