Geodesic
Estimates for some potential type operators whose kernels have singularities on spheres
Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 1, pp. 12-23 
M. N. Gurov; V. A. Nogin. Estimates for some potential type operators whose kernels have singularities on spheres. Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 1, pp. 12-23. http://geodesic.mathdoc.fr/item/VMJ_2014_16_1_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Multidimensional convolution operators whose kernels have power-type singularities on a finite union of spheres in $\mathbb R^n$ are studied on Hardy spaces $H^p$, $0. Necessary and sufficient conditions are obtained for such operators to be bounded from $H^p$ into the Holder space $\Lambda_s$, from $H^p$ into the Sobolev space $L_k^\infty$, and from BMO into $\Lambda_s$.

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