Greedy Bases for Besov Spaces
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We prove that the Banach space,(⊕∞n=1 lnp)lq, which is isomorphic to certain Besov spaces, has a greedy basis whenever 1≤p≤∞ and 1≤q≤∞. Furthermore, the Banach spaces(⊕∞n=1 lnp)lq, with 1≥p≤∞, and(⊕∞n=1 lnp)lq, with 1≤p≤∞, do not have a greedy basis. We prove as well that the space(⊕∞n=1 lnp)lq has a 1-greedy basis if and only if 1≤p=q≤∞. © 2010 Springer Science+Business Media, LLC.
author list (cited authors)
Dilworth, S. J., Freeman, D., Odell, E., & Schlumprecht, T.