Geodesic
Estimates for some potential type operators whose kernels have singularities on spheres
Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 1, pp. 12-23

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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 $\Lambda_s$. 
@article{VMJ_2014_16_1_a1,
     author = {M. N. Gurov and V. A. Nogin},
     title = {Estimates for some potential type operators whose kernels have singularities on spheres},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {12--23},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2014_16_1_a1/}
}
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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/