Two-microlocal Besov spaces and wavelets

  title={Two-microlocal Besov spaces and wavelets},
  author={Shinya Moritoh and Tomomi Yamada},
We give a characterization of the two–microlocal Besov spaces in terms of the local Besov type conditions. As an easy consequence, we obtain the inclusions between the two–microlocal Besov spaces and the local Besov spaces. These results are natural extensions of those obtained by Jaffard and Meyer, who treated the pointwise Hölder regularity in terms of two–microlocal estimates. The Daubechies wavelets play a key role throughout the paper.