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Vladikavkazskii Matematicheskii Zhurnal, 2010, Volume 12, Number 3, Pages 21–29
(Mi vmj180)
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This article is cited in 5 scientific papers (total in 5 papers)
Estimates for some potential-type operators with oscillating symbols
A. V. Gila, V. A. Noginab
a Southern Federal University, Russia, Rostov-on-Don
b South Mathematical Institute of VSC RAS
Abstract:
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 $BMO$.
Key words:
convolution, oscillating symbol, BMO, $H^p-H^q$-estimates, multiplier, distribution, potential-type operator.
Received: 20.11.2009
Citation:
A. V. Gil, V. A. Nogin, “Estimates for some potential-type operators with oscillating symbols”, Vladikavkaz. Mat. Zh., 12:3 (2010), 21–29
Linking options:
https://www.mathnet.ru/eng/vmj180 https://www.mathnet.ru/eng/vmj/v12/i3/p21
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| Abstract page: | 355 | | Full-text PDF : | 90 | | References: | 64 | | First page: | 1 |
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