Bounded below composition operators on the space of Bloch functions on the unit ball of a Hilbert space
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Title
Bounded below composition operators on the space of Bloch functions on the unit ball of a Hilbert spaceAuthor (s)
Date
2023-09-04Publisher
SpringerISSN
1735-8787; 2662-2033Bibliographic citation
Miralles, A. Bounded below composition operators on the space of Bloch functions on the unit ball of a Hilbert space. Banach J. Math. Anal. 17, 73 (2023). https://doi.org/10.1007/s43037-023-00295-wType
info:eu-repo/semantics/articlePublisher version
https://link.springer.com/article/10.1007/s43037-023-00295-wVersion
info:eu-repo/semantics/publishedVersionAbstract
Let be the open unit ball of a complex finite or infinite dimensional Hilbert space E and consider the space of Bloch functions on . Using Lipschitz continuity of the dilation map on given by for , where denotes ... [+]
Let be the open unit ball of a complex finite or infinite dimensional Hilbert space E and consider the space of Bloch functions on . Using Lipschitz continuity of the dilation map on given by for , where denotes the radial derivative of , we study when a composition operator on is bounded below. [-]
Is part of
Banach Journal of Mathematical Analysis, 2023, vol. 17, no 4Funder Name
Ministerio de Ciencia, Innovación y Universidades
Funder ID
http://dx.doi.org/10.13039/501100011033
Project code
MICIU/ICTI2017-2020/PID2019-106529GB-I00
Project title or grant
Álgebras de funciones sobre grupos topológicos
Rights
info:eu-repo/semantics/openAccess
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- IMAC_Articles [122]