2019
Том 71
№ 11

All Issues

Two-weighted inequalities for Riesz potential in $p$-convex weighted modular Banach function spaces

Bandaliyev R. A., Guliyev V. S., Hasanov S. G.

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Abstract

The main goal of this paper is to prove a two-weight boundedness for Riesz potential from one weighted Banach function space to another weighted Banach function space. In particular, we obtain a two-weight boundedness for Riesz potential and find sufficient conditions on the weights for boundedness of Riesz potential in weighted Musielak – Orlicz spaces.

Citation Example: Bandaliyev R. A., Guliyev V. S., Hasanov S. G. Two-weighted inequalities for Riesz potential in $p$-convex weighted modular Banach function spaces // Ukr. Mat. Zh. - 2017. - 69, № 11. - pp. 1443-1454.

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