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Wavelet characterizations of weighted Herz spaces

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83975

Title: Wavelet characterizations of weighted Herz spaces
Authors: Izuki, Mitsuo Browse this author
Tachizawa, Kazuya Browse this author
Keywords: wavelet
weighted Herz space
Ap weight
A1 weight
unconditional basis
Issue Date: 29-Jan-2007
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 825
Start Page: 1
End Page: 13
Abstract: We characterize the homogeneous weighted Herz space ˙K α,p q (w1,w2) and the non-homogeneous weighted Herz space Kα,p q (w1,w2) using wavelets in C1(Rn) with compact support. Applying the characterizations, we prove that the wavelet basis forms an unconditional basis in ˙Kα,p q (w1,w2) and in Kα,p q (w1,w2) .
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69634
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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