Proceedings of the American Mathematical Society

Subsequences of the Haar basis consisting of full levels in

for $0 < p < \infty$

Author(s): K. Smela
Journal: Proc. Amer. Math. Soc. 135 (2007), 1709-1716.
MSC (2000): Primary 43A17, 42C20
Posted: November 14, 2006
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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

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