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

Nihat Gökhan Göğüş ()
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Nihat Gökhan Göğüş: Faculty of Engineering and Natural Sciences, Sabanci University, Istanbul 34956, Turkey

Mathematics, 2024, vol. 12, issue 16, 1-13

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.

Keywords: embeddings; composition operators; growth spaces; Banach lattice (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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