Open AccessAtomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces
Author(s) -
Henning Kempka
Publication year - 2010
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2010/469513
Subject(s) - pseudodifferential operators , mathematics , decomposition , pure mathematics , wavelet , invariant (physics) , microlocal analysis , besov space , operator theory , fourier integral operator , functional analysis , interpolation space , chemistry , mathematical physics , computer science , artificial intelligence , biochemistry , organic chemistry , gene
We introduce generalized 2-microlocal Besov spaces and give characterizations in decomposition spaces by atoms, molecules and wavelets. We apply the wavelet decomposition to prove that the 2-microlocal spaces are invariant under the action of pseudodifferential operators of order 0
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