p-Compactness of Bloch maps
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URI: http://hdl.handle.net/10835/16070
ISSN: 2008-8752
ISSN: 2639-7390
DOI: https://doi.org/10.1007/s43034-024-00321-4
ISSN: 2008-8752
ISSN: 2639-7390
DOI: https://doi.org/10.1007/s43034-024-00321-4
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2024-02-21Resumen
Influenced by the concept of a p-compact operator due to Sinha and Karn (Stud Math 150(1): 17–33, 2002), we introduce p-compact Bloch maps of the open unit disk D ⊆ C to a complex Banach space X, and obtain its most outstanding properties: surjective Banach ideal property, Möbius invariance, linearisation on the Bloch-free Banach space over D, inclusion properties, factorisation of their derivatives, and transposition on the normalized Bloch space. We also present right p-nuclear Bloch maps of D to X and study its relation with p-compact Bloch maps.
Palabra/s clave
Vector-valued holomorphic function
Bloch function
p-Compact operator
p-Compact Bloch function