Proceedings of the American Mathematical Society

Author(s): Marc Lengfield
Journal: Proc. Amer. Math. Soc. 133 (2005), 1401-1409.
MSC (2000): Primary 32A35
Posted: October 18, 2004
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Abstract: For

we describe the dual spaces and Banach envelopes of the spaces $H^{p,q}$ for finite values of

and for $H_{0}^{p,\infty }$ , the closure of the polynomials in $H^{p,\infty }$ . In addition, we determine the

-Banach envelopes for the spaces $H^{p,q}$ in the cases $0<q<p<s\leq 1$ and $0<q<p\leq s\leq 1$ .

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Marc Lengfield
Affiliation: Department of Mathematics, Florida State University, Tallahassee, Florida 32306-4510
Address at time of publication: Department of Mathematics, Western Kentucky University, Bowling Green, Kentucky 42101
Email: mlang@math.fsu.edu, marc.lengfield@wku.edu

DOI: 10.1090/S0002-9939-04-07656-7
PII: S 0002-9939(04)07656-7
Received by editor(s): April 1, 2003
Received by editor(s) in revised form: January 7, 2004
Posted: October 18, 2004
Communicated by: N. Tomczak-Jaegermann
Copyright of article: Copyright 2004, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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ISSN 1088-6826 (e) ISSN 0002-9939 (p)

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