Two–microlocal Besov spaces and wavelets | Zendy

Shinya Moritoh | Zendy; Tomomi Yamada | Zendy

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Two–microlocal Besov spaces and wavelets

Author(s) -

Shinya Moritoh,

Tomomi Yamada

Publication year - 2004

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/389

Subject(s) - wavelet , besov space , microlocal analysis , mathematics , computer science , pure mathematics , artificial intelligence , operator theory , chemistry , fourier integral operator , interpolation space , functional analysis , biochemistry , gene

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.

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