Work

Growth Spaces on Circular Domains Taking Values in a Banach Lattice, Embeddings and Composition Operators

Year: 2024

Type: article

Abstract: We introduce the space of holomorphic growth spaces with values in a Banach lattice. We provide norm and essential norm estimates of the embedding operator, and we completely characterize the bounded and compact embeddings of the growth spaces using vector-valued Carleson measures. As an application, we prove a characterization of weighted composition operators.

Source: Mathematics

DOI: 10.3390/math12162554

Author: Nihat Gökhan Göğüş

Institution: Sabancı Üniversitesi

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: Türkiye Bilimsel ve Teknolojik Araştırma Kurumu