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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Brangesian spaces in $H^p(\mathbf{T}^2)$

Author(s): D. A. Redett
Journal: Proc. Amer. Math. Soc. 133 (2005), 2689-2695.
MSC (2000): Primary 47A15; Secondary 46E30
Posted: March 22, 2005
MathSciNet review: 2146215
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Abstract | References | Similar articles | Additional information

Abstract: In this note, we characterize certain algebraic subspaces of $H^p(\mathbf{T}^2)$ extending D. Singh's $H^2(\mathbf{T}^2)$result.


References:

1.
V. Mandrekar, The validity of Beurling theorems in polydiscs, Proc. Amer. Math. Soc., 103 (1988), 145-148. MR 0938659 (90c:32008)

2.
D. A. Redett, ``Beurling Type'' Subspaces of $L^p(\mathbf{T}^2)$ and $H^p(\mathbf{T}^2)$, Proc. Amer. Math. Soc., 133 no. 4 (2005), 1151-1156.

3.
W. Rudin, Function theory in polydiscs, Benjamin, New York, 1969. MR 0255841 (41:501)

4.
Dinesh Singh, Brangesian spaces in the polydisk, Proc. Amer. Math. Soc., 110 no.4 (1990), 971-977. MR 1028289 (91c:46038)

5.
Dinesh Singh and Sanjeev Agrawal, DeBranges Spaces Contained in some Banach Spaces of Analytic Functions, Illinois Journal of Math., 39 no. 3(1995), 351-357. MR 1339831 (96d:46021)

6.
M. Slocinski, On Wold-type decomposition of a pair of commuting isometries, Ann. Polon. Math., 37 (1980), 255-262. MR 0587496 (83e:47031)

7.
Alberto Torchinsky, Real-Variable Methods in Harmonic Analysis, Academic Press, 1986. MR 0869816 (88e:42001)


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Additional Information:

D. A. Redett
Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368
Email: redett@math.tamu.edu

DOI: 10.1090/S0002-9939-05-07833-0
PII: S 0002-9939(05)07833-0
Received by editor(s): October 28, 2003
Received by editor(s) in revised form: April 27, 2004
Posted: March 22, 2005
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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