Geodesic
On the Generalized Marcinkiewicz Integral Operators with Rough Kernels
Canadian mathematical bulletin, Tome 54 (2011) no. 1, pp. 100-112

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DOI

A class of generalized Marcinkiewicz integral operators is introduced, and, under rather weak conditions on the integral kernels, the boundedness of such operators on ${{L}^{p}}$ and Triebel–Lizorkin spaces is established.
DOI : 10.4153/CMB-2010-085-3
Mots-clés : 42B20, 42B25, 42B30, 42B99, Marcinkiewicz integral, Littlewood–Paley theory, Triebel–Lizorkin space, rough kernel, product domain 
Fan, Dashan; Wu, Huoxiong. On the Generalized Marcinkiewicz Integral Operators with Rough Kernels. Canadian mathematical bulletin, Tome 54 (2011) no. 1, pp. 100-112. doi: 10.4153/CMB-2010-085-3
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     author = {Fan, Dashan and Wu, Huoxiong},
     title = {On the {Generalized} {Marcinkiewicz} {Integral} {Operators} with {Rough} {Kernels}},
     journal = {Canadian mathematical bulletin},
     pages = {100--112},
     year = {2011},
     volume = {54},
     number = {1},
     doi = {10.4153/CMB-2010-085-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-085-3/}
}
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