Geodesic
Estimates for some potential-type operators with oscillating symbols
Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 3, pp. 21-29

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In the framework of Hardy spaces $H^p$, we study multidimensional potential-type operators whose kernels have singularities on the unit sphere. Necessary and sufficient conditions are obtained for such operators to be bounded from $H^p$ to $H^q$, from $BMO$ to $L^\infty$, from $L^1$ to $H^1$ or from $BMO$ to $BMO$. 
@article{VMJ_2010_12_3_a1,
     author = {A. V. Gil and V. A. Nogin},
     title = {Estimates for some potential-type operators with oscillating symbols},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {21--29},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2010_12_3_a1/}
}
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A. V. Gil; V. A. Nogin. Estimates for some potential-type operators with oscillating symbols. Vladikavkazskij matematičeskij žurnal, Tome 12 (2010) no. 3, pp. 21-29. http://geodesic.mathdoc.fr/item/VMJ_2010_12_3_a1/