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Estimates for some convolution operators with singularities of their kernels on spheres

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 Rn. Necessary and sufficient conditions are obtained for such operators to be bounded from Hp to Hq, 0 < p ≤ q < ∞ from H p to BMO,...

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Bibliografiska uppgifter
Huvudupphovsmän: Alexei V Gil, Anatoliy I Zadorozhnyi, Vladimir A Nogin
Materialtyp: Artigo
Språk:Inglês
Publicerad: Samara State Technical University 2011-06-01
Serie:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Ämnen:
bmo
Länkar:https://journals.eco-vector.com/1991-8615/article/viewFile/21003/17262
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