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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 1, Pages 166–176 (Mi smj948)  
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
Full-text PDF (222 kB) Citations (23)
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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
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 1, Pages 133–141
DOI: https://doi.org/10.1007/s11202-005-0014-1
Bibliographic databases:
UDC: 517.982
Language: Russian
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
Citation in format AMSBIB
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\paper On the generalized Morrey spaces
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\pages 166--176
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\zmath{https://zbmath.org/?q=an:1096.46015}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 1
\pages 133--141
\crossref{https://doi.org/10.1007/s11202-005-0014-1}
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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