Greedy Bases for Besov Spaces Academic Article uri icon


  • We prove that the Banach space,(n=1 lnp)lq, which is isomorphic to certain Besov spaces, has a greedy basis whenever 1p and 1q. Furthermore, the Banach spaces(n=1 lnp)lq, with 1p, and(n=1 lnp)lq, with 1p, 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 1p=q. 2010 Springer Science+Business Media, LLC.

published proceedings

  • Constructive Approximation

author list (cited authors)

  • Dilworth, S. J., Freeman, D., Odell, E., & Schlumprecht, T.

citation count

  • 4

complete list of authors

  • Dilworth, SJ||Freeman, D||Odell, E||Schlumprecht, T

publication date

  • October 2011