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This article is cited in 4 scientific papers (total in 4 papers)
Boundedness of Riemann–Liouville fractional integral operator in Morrey spaces
M. A. Senouci S.M. Nikolskii Mathematical Institute,
RUDN University,
6 Miklukho Maklay St,
117198 Moscow, Russian Federation
Abstract:
The aim of the present paper is to prove the boundedness of the multidimensional Riemann–Liouville operator from the quasi-normed Morrey space $M_p^\lambda(\Omega)$ to another quasi-normed Morrey space $M_q^\mu(\Omega)$ and to estimate the dependence of the norm of this operator on $\Omega$.
Keywords and phrases:
Riemann–Liouville operator, Morrey spaces, boundedness.
Received: 13.11.2020
Citation:
M. A. Senouci, “Boundedness of Riemann–Liouville fractional integral operator in Morrey spaces”, Eurasian Math. J., 12:1 (2021), 82–91
Linking options:
https://www.mathnet.ru/eng/emj394 https://www.mathnet.ru/eng/emj/v12/i1/p82
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Abstract page: | 181 | Full-text PDF : | 135 | References: | 28 |
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