Subsequences of the Haar basis consisting of full levels in $H_p$ for $0 < p < \infty$
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- by K. Smela PDF
- Proc. Amer. Math. Soc. 135 (2007), 1709-1716 Request permission
Abstract:
We find a condition to be satisfied by strictly increasing sequences of natural numbers guaranteeing that corresponding subsequences of the Haar basis (consisting of full levels) are equivalent or span isomorphic spaces. This applies in particular to Hardy spaces for $0 < p < \infty$. We also construct a continuum of greedy nonequivalent bases in $H_p$.References
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Additional Information
- K. Smela
- Affiliation: Department of Mathematics, Rzeszow University of Technology, 35-959 Rzeszow, ul. W. Pola 2, Poland
- Email: smelakrz@prz.rzeszow.pl
- Received by editor(s): May 9, 2005
- Received by editor(s) in revised form: December 21, 2005
- Published electronically: November 14, 2006
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 1709-1716
- MSC (2000): Primary 43A17, 42C20
- DOI: https://doi.org/10.1090/S0002-9939-06-08616-3
- MathSciNet review: 2286080