×

Holomorphic Hölder-type spaces and composition operators. (English) Zbl 07292717

Summary: We study boundedness and compactness of composition operators in the generalized Hölder-type space of holomorphic functions in the unit disc with prescribed modulus of continuity. We also devote a significant part of the article to outline some embeddings between such Hölder-type spaces, to discuss properties of modulus of continuity and to construct some useful examples.

MSC:

47B33 Linear composition operators
46E15 Banach spaces of continuous, differentiable or analytic functions
30H99 Spaces and algebras of analytic functions of one complex variable
PDFBibTeX XMLCite
Full Text: DOI