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JOURNALS // Vladikavkazskii Matematicheskii Zhurnal // Archive

Vladikavkaz. Mat. Zh., 2014 Volume 16, Number 2, Pages 62–68 (Mi vmj505)

This article is cited 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.

UDC: 517.968

Received: 29.06.2013



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