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Eurasian Mathematical Journal, 2018, том 9, номер 2, страницы 34–43
(Mi emj295)
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On the symbol of nonlocal operators associated with a parabolic diffeomorphism
N. R. Izvarina S.M. Nikol'skii Mathematical Institute,
RUDN University,
6 Miklukho-Maklay St,
117198, Moscow, Russian Federation
Аннотация:
We study the ellipticity of the symbols of operators associated with parabolic diffeomorphisms of spheres and we show, that if for some smoothness exponent of the Sobolev space the symbol of an operator is invertible, then the symbol is invertible for all exponents of Sobolev spaces.
Ключевые слова и фразы:
Sobolev spaces, pseudodifferential operators, symbol, ellipticity, parabolic diffeomorphism.
Поступила в редакцию: 12.02.2017
Образец цитирования:
N. R. Izvarina, “On the symbol of nonlocal operators associated with a parabolic diffeomorphism”, Eurasian Math. J., 9:2 (2018), 34–43
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj295 https://www.mathnet.ru/rus/emj/v9/i2/p34
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