L2 boundedness of a singular integral operator.
Fan, Dashan ; Pan, Yibiao
Publicacions Matemàtiques, Tome 41 (1997), p. 317-333 / Harvested from Biblioteca Digital de Matemáticas
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In this paper we study a singular integral operator T with rough kernel. This operator has singularity along sets of the form {x = Q(|y|)y'}, where Q(t) is a polynomial satisfying Q(0) = 0. We prove that T is a bounded operator in the space L2(Rn), n ≥ 2, and this bound is independent of the coefficients of Q(t).

We also obtain certain Hardy type inequalities related to this operator.

Publié le : 1997-01-01
DMLE-ID : 3855 
@article{urn:eudml:doc:41323,
     title = {L2 boundedness of a singular integral operator.},
     journal = {Publicacions Matem\`atiques},
     volume = {41},
     year = {1997},
     pages = {317-333},
     mrnumber = {MR1485486},
     zbl = {0904.42012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41323}
}

Fan, Dashan; Pan, Yibiao. L2 boundedness of a singular integral operator.. Publicacions Matemàtiques, Tome 41 (1997) pp. 317-333. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41323/