Henning Kempka, "Atomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces", Journal of Function Spaces, vol. 8, Article ID 469513, 37 pages, 2010. https://doi.org/10.1155/2010/469513
Atomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces
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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