A. V. Gil, V. A. Nogin, “Estimates for some potential-type operators with oscillating symbols”, Vladikavkaz. Mat. Zh., 12:3 (2010), 21

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Vladikavkazskii Matematicheskii Zhurnal, 2010, Volume 12, Number 3, Pages 21–29 (Mi vmj180)

This article is cited in 5 scientific papers (total in 5 papers)

Estimates for some potential-type operators with oscillating symbols

A. V. Gil^a, V. A. Nogin^ab

^a Southern Federal University, Russia, Rostov-on-Don
^b South Mathematical Institute of VSC RAS

Full-text PDF (170 kB) Citations (5)

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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

Document Type: Article

UDC: 517.983

Language: Russian

Citation: A. V. Gil, V. A. Nogin, “Estimates for some potential-type operators with oscillating symbols”, Vladikavkaz. Mat. Zh., 12:3 (2010), 21–29

Citation in format AMSBIB

\Bibitem{GilNog10}

\by A.~V.~Gil, V.~A.~Nogin

\paper Estimates for some potential-type operators with oscillating symbols

\jour Vladikavkaz. Mat. Zh.

\yr 2010

\vol 12

\issue 3

\pages 21--29

\mathnet{http://mi.mathnet.ru/vmj180}

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https://www.mathnet.ru/eng/vmj/v12/i3/p21

This publication is cited in the following 5 articles:

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