Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

One-parameter groups of isometries on Hardy spaces of the torus


Authors: Earl Berkson and Horacio Porta
Journal: Trans. Amer. Math. Soc. 220 (1976), 373-391
MSC: Primary 47D10; Secondary 46J15
DOI: https://doi.org/10.1090/S0002-9947-1976-0417855-8
MathSciNet review: 0417855
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The strongly continuous one-parameter groups of isometries on $ {H^p}$ of the torus $ (1 \leqslant p < \infty ,p \ne 2)$, as well as their generators, are classified and concretely described.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 47D10, 46J15

Retrieve articles in all journals with MSC: 47D10, 46J15


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1976-0417855-8
Keywords: Isometry, Hardy space, torus, Möbius transformation, group, generator
Article copyright: © Copyright 1976 American Mathematical Society