Bloch type spaces on the unit ball of a Hilbert space

Zhenghua Xu

Czechoslovak Mathematical Journal (2019)

  • Volume: 69, Issue: 3, page 695-711
  • ISSN: 0011-4642

Abstract

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We initiate the study of Bloch type spaces on the unit ball of a Hilbert space. As applications, the Hardy-Littlewood theorem in infinite-dimensional Hilbert spaces and characterizations of some holomorphic function spaces related to the Bloch type space are presented.

How to cite

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Xu, Zhenghua. "Bloch type spaces on the unit ball of a Hilbert space." Czechoslovak Mathematical Journal 69.3 (2019): 695-711. <http://eudml.org/doc/294745>.

@article{Xu2019,
abstract = {We initiate the study of Bloch type spaces on the unit ball of a Hilbert space. As applications, the Hardy-Littlewood theorem in infinite-dimensional Hilbert spaces and characterizations of some holomorphic function spaces related to the Bloch type space are presented.},
author = {Xu, Zhenghua},
journal = {Czechoslovak Mathematical Journal},
keywords = {Bloch type space; Lipschitz space; Hardy-Littlewood theorem; Hilbert space},
language = {eng},
number = {3},
pages = {695-711},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Bloch type spaces on the unit ball of a Hilbert space},
url = {http://eudml.org/doc/294745},
volume = {69},
year = {2019},
}

TY - JOUR
AU - Xu, Zhenghua
TI - Bloch type spaces on the unit ball of a Hilbert space
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 3
SP - 695
EP - 711
AB - We initiate the study of Bloch type spaces on the unit ball of a Hilbert space. As applications, the Hardy-Littlewood theorem in infinite-dimensional Hilbert spaces and characterizations of some holomorphic function spaces related to the Bloch type space are presented.
LA - eng
KW - Bloch type space; Lipschitz space; Hardy-Littlewood theorem; Hilbert space
UR - http://eudml.org/doc/294745
ER -

References

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