|
Vladikavkazskii Matematicheskii Zhurnal, 2014, Volume 16, Number 2, Pages 62–68
(Mi vmj505)
|
|
|
|
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
|
|