On the Structure of Np-Spaces in the Ball

We study the structure of N p -spaces in the ball. In particular, we show that any such space is Moebius-invariant and for 0 < p ≤ n , all N p -spaces are different. Our results will be used in the study of operator theory on N p -spaces.

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Bibliographic Details
Published in:Acta mathematica vietnamica 2018-09, Vol.43 (3), p.433-448
Main Authors: Hu, Bingyang, Khoi, Le Hai, Le, Trieu
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary:We study the structure of N p -spaces in the ball. In particular, we show that any such space is Moebius-invariant and for 0 < p ≤ n , all N p -spaces are different. Our results will be used in the study of operator theory on N p -spaces.
ISSN:0251-4184
2315-4144
DOI:10.1007/s40306-017-0232-1