Two-microlocal Besov spaces and wavelets.
Summary: We give a characterization of two-microlocal Besov spaces in terms of local Besov type conditions. As an easy consequence, we obtain inclusions between two-microlocal Besov spaces and 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.
scientific article; zbMATH DE number 2104147
scientific article