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DOI: 10.23671/VNC.2016.2.7389

Boundedness of the riesz potential operator in weighted grand Lebesgue spaces

Umarkhadzhiev, S. M.
Vladikavkaz Mathematical Journal 2014. Vol. 16. Issue 2.
Abstract:
We prove à 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
Keywords: generalized grand Lebesgue space, Riesz potential operator, interpolation theorem.
Language: Russian Download the full text  
For citation: Umarkhadzhiev S. M. Boundedness of the riesz potential operator in weighted grand Lebesgue spaces. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 16, no. 2, pp.62-68. DOI 10.23671/VNC.2016.2.7389
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