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Applications of multiresolution analysis in Besov-Q type spaces and Triebel-Lizorkin-Q type spaces
Published date: 15 Jun 2022
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In this survey, we give a neat summary of the applications of the multi-resolution analysis to the studies of Besov-Q type spaces () and Triebel-Lizorkin-Q type spaces (). We will state briefly the recent progress on the wavelet characterizations, the boundedness of Calderón-Zygmund operators, the boundary value problem of () and (). We also present the recent developments on the well-posedness of fluid equations with small data in () and ().
Pengtao LI , Wenchang SUN . Applications of multiresolution analysis in Besov-Q type spaces and Triebel-Lizorkin-Q type spaces[J]. Frontiers of Mathematics in China, 2022 , 17(3) : 373 -435 . DOI: 10.1007/s11464-022-1015-0
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