A discrete characterization of Besov spaces

@article{Kamont1997ADC,
  title={A discrete characterization of Besov spaces},
  author={Anna Kamont},
  journal={Approximation Theory and its Applications},
  year={1997},
  volume={13},
  pages={63-77}
}
AbstractThe characterization of isotropic Besov spaces Bp,qa(Id) for a>d/p in terms of progressive differences of a function on dyadic points is obtained. Moreover, for $$\underline a = (a_1 ,...a_d )$$ with ai>1/p, an analogous characterization of anisotropic Besov spaces $$B_{p,q}^{\underline a } (I^d )$$ is presented. 

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