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Vladikavkazskii Matematicheskii Zhurnal, 2014, Volume 16, Number 2, Pages 62–68
(Mi vmj505)
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This article is cited in 6 scientific papers (total in 6 papers)
Boundedness of the Riesz potential operator in weighted grand Lebesgue spaces
S. M. Umarkhadzhiev Chechen State University, Groznyi, Russia
Abstract:
We prove а theorem on the two-weighted boundedness of linear operators in generalized Grand Lebesgue spaces introduced in our previous papers. This theorem is applied to obtain two-weigt estimated for the Riesz potential operator in such spaces.
Key words:
generalized grand Lebesgue space, Riesz potential operator, interpolation theorem.
Received: 29.06.2013
Citation:
S. M. Umarkhadzhiev, “Boundedness of the Riesz potential operator in weighted grand Lebesgue spaces”, Vladikavkaz. Mat. Zh., 16:2 (2014), 62–68
Linking options:
https://www.mathnet.ru/eng/vmj505 https://www.mathnet.ru/eng/vmj/v16/i2/p62
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Abstract page: | 349 | Full-text PDF : | 120 | References: | 50 |
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