Work

On the Multiplication Operators from the Natural μ-Bloch-Type Space into Another Natural ω-Bloch-Type Space

Year: 2025

Type: article

Abstract: This paper investigates the boundedness of multiplication operators Mψ between natural μ-Bloch-type spaces Bμ,nat(BX) (or their little μ-Bloch counterparts) and natural ω-Bloch-type spaces Bω,nat(BX) on the unit ball BX of a complex Banach space X. We establish complete characterizations for the boundedness of Mψ under varying conditions on the weight functions μ and ω, including specific cases such as logarithmic and power-weighted Bloch spaces. The results extend classical operator theory to infinite-dimensional settings, unifying prior work on finite-dimensional domains.

Source: Mathematics

DOI: 10.3390/math13203302

Authors: Xiaoman Liu, Yongmin Liu

Institutions: Nanjing Agricultural University, Jiangsu Normal University

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: National Natural Science Foundation of China