Bloch functions on the unit ball of a Banach space
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Título
Bloch functions on the unit ball of a Banach spaceAutoría
Fecha de publicación
2021-02-10Editor
American Mathematical SocietyISSN
1088-6826; 0002-9939Cita bibliográfica
Miralles, A. (2021). Bloch functions on the unit ball of a Banach space. Proceedings of the American Mathematical Society, 149(4), 1459-1470.Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
The space of Bloch functions on bounded symmetric domains is extended by considering Bloch functions f on the unit ball BE of nite and in nite dimensional complex Banach spaces in two di erent ways: by extending the ... [+]
The space of Bloch functions on bounded symmetric domains is extended by considering Bloch functions f on the unit ball BE of nite and in nite dimensional complex Banach spaces in two di erent ways: by extending the classical Bloch space considering the boundness of (1 ̶̶ ||x||²)||f'(x)|| on BE and by preserving the invariance of the correspondiing seminorm when we compose with automorphisms φ of BE. We study the connection between these spaces proving that they are different in general and prove that all bounded analytic functions on BE are Bloch functions in both ways. [-]
Publicado en
Proceedings of the American Mathematical Society, 149 (2021)Código del proyecto o subvención
PGC2018-094431-B-100 | GV/2018/110
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info:eu-repo/semantics/openAccess
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- MAT_Articles [763]
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