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

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

In the framework of Hardy spaces Hp, 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

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Veröffentlicht in:Vestnik Samarskogo gosudarstvennogo tehničeskogo universiteta. Seriâ Fiziko-matematičeskie nauki 2011-06, Vol.2(23), p.17-23
Hauptverfasser: V. A. Nogin, A. I. Zadorozhnyi, A. V. Gil
Format: Artikel
Sprache:eng ; rus
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Zusammenfassung:In the framework of Hardy spaces Hp, 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
ISSN:1991-8615
2310-7081
DOI:10.14498/vsgtu848