A. V. Gil, V. A. Nogin, “Inversion and description of the ranges of potentials with singularities of their kernels on a sphere”, Vladikavkaz. Mat. Zh., 14:4 (2012), 10

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Vladikavkazskii Matematicheskii Zhurnal, 2012, Volume 14, Number 4, Pages 10–18 (Mi vmj432)

This article is cited in 2 scientific papers (total in 2 papers)

Inversion and description of the ranges of potentials with singularities of their kernels on a sphere

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

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

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Abstract: Within the framework of the method of approximative inverse operators we construct the inversion of generalized Strichartz potentials with densities in the Hardy space $H^1$ in the non-elliptic case, when their symbols degenerate on a set of measure zero. The ranges of these operators are also described.

Key words: convolution, oscillating symbol, range, multiplier, method of approximative inverse operators.

Received: 26.05.2011

Document Type: Article

UDC: 517.983

Language: Russian

Citation: A. V. Gil, V. A. Nogin, “Inversion and description of the ranges of potentials with singularities of their kernels on a sphere”, Vladikavkaz. Mat. Zh., 14:4 (2012), 10–18

Citation in format AMSBIB

\Bibitem{GilNog12}

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

\paper Inversion and description of the ranges of potentials with singularities of their kernels on a~sphere

\jour Vladikavkaz. Mat. Zh.

\yr 2012

\vol 14

\issue 4

\pages 10--18

\mathnet{http://mi.mathnet.ru/vmj432}

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https://www.mathnet.ru/eng/vmj/v14/i4/p10

This publication is cited in the following 2 articles:

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