A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
Bloch functions on the unit ball of a Banach space
2019
Proceedings of the American Mathematical Society
Preserved Fulltext
The space of Bloch functions on bounded symmetric domains is extended by considering Bloch functions f on the unit ball BE of finite and infinite dimensional complex Banach spaces in two different 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
doi:10.1090/proc/14966
fatcat:77yj4yl2uvehpegilrbatsupoa