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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 1, Pages 166–176
(Mi smj948)
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This article is cited in 23 scientific papers (total in 23 papers)
On the generalized Morrey spaces
L. H. Cuia, Q. X. Yangb a Beijing University of Chemical Technology
b Department of Mathematics, Wuhan University
Abstract:
We show the equivalence of some real variable characterization and wavelet characterization for the generalized Morrey spaces, using a $2n$-dimensional wavelet to analyze an element in $Q_p^{\alpha,q}$ on $\mathbb{R}^n$. We also construct the preduals $P_p^{\alpha,q}$ of $Q_p^{\alpha,q}$ which are generated by some atoms defined by wavelets.
Keywords:
$Q_p^{\alpha,q}$-spaces, $n$-dimensional wavelet, atomic decomposition, predual, oscillation space.
Received: 27.11.2002
Citation:
L. H. Cui, Q. X. Yang, “On the generalized Morrey spaces”, Sibirsk. Mat. Zh., 46:1 (2005), 166–176; Siberian Math. J., 46:1 (2005), 133–141
Linking options:
https://www.mathnet.ru/eng/smj948 https://www.mathnet.ru/eng/smj/v46/i1/p166
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Abstract page: | 442 | Full-text PDF : | 104 | References: | 56 |
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