Holomorphic Hölder‐type spaces and composition operators | Zendy

Blasco Oscar | Zendy; Karapetyants Alexey | Zendy; Restrepo Joel | Zendy

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Holomorphic Hölder‐type spaces and composition operators

Author(s) -

Blasco Oscar,

Karapetyants Alexey,

Restrepo Joel

Publication year - 2020

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.6675

Subject(s) - mathematics , holomorphic function , compact space , composition (language) , modulus of continuity , type (biology) , pure mathematics , mathematical analysis , modulus , construct (python library) , space (punctuation) , geometry , computer science , ecology , philosophy , linguistics , biology , programming language , operating system

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.

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