Boundedness of the Marcinkiewicz integrals with rough kernel associated to surfaces
Ding, Yong ; Xue, Qingying ; Yabuta, Kôzô
Tohoku Math. J. (2), Tome 62 (2010) no. 1, p. 233-262 / Harvested from Project Euclid
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In this paper, the authors discuss the weighted $L^p$ boundedness for the rough Marcinkiewicz integrals associated to surfaces. More precisely, the kernel of our operator lacks smoothness not only on the unit sphere, but also in the radial directions. Moreover, the surface is defined by using a differentiable function with monotonicity and some properties on the positive real line. The results given in this paper improve and extend some known results.
Publié le : 2010-05-15
Classification:  Marcinkiewicz integrals,  $L^p$ boundedness,  weighted boundedness,  rough kernel,  42B25,  47G10 
@article{1277298647,
     author = {Ding, Yong and Xue, Qingying and Yabuta, K\^oz\^o},
     title = {Boundedness of the Marcinkiewicz integrals with rough kernel associated to
				surfaces},
     journal = {Tohoku Math. J. (2)},
     volume = {62},
     number = {1},
     year = {2010},
     pages = { 233-262},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1277298647}
}

Ding, Yong; Xue, Qingying; Yabuta, Kôzô. Boundedness of the Marcinkiewicz integrals with rough kernel associated to
				surfaces. Tohoku Math. J. (2), Tome 62 (2010) no. 1, pp.  233-262. http://gdmltest.u-ga.fr/item/1277298647/