Geodesic
Estimates for some convolution operators with singularities of their kernels on spheres
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 123 (2011) no. 2, pp. 17-23 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the framework of Hardy spaces $H^p$, we study multidimensional convolution operators whose kernels have power-type singularities on a finite union of spheres in $\mathbb R^n$. Necessary and sufficient conditions are obtained for such operators to be bounded from $H^p$ to $H^q$, $0, from $H^p$ to BMO, and from BMO to BMO.
Mots-clés : convolution, multiplier, distribution.
Keywords: sphere, oscillating symbol, BMO, $(H^p{-}H^{q})$-estimates 
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A. V. Gil; A. I. Zadorozhnyi; V. A. Nogin. Estimates for some convolution operators with singularities of their kernels on spheres. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 123 (2011) no. 2, pp. 17-23. http://geodesic.mathdoc.fr/item/VSGTU_2011_123_2_a1/

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