| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 840004 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 6 Pages |
Abstract
We derive necessary and sufficient conditions for a weight vv governing the weighted inequality (∫Rn|Iα(f→)(x)|qv(x)dx)1/q≤C∏i=1m(∫Rn|fi(x)|pidx)1/pi, where IαIα is the multilinear fractional integral operator. The derived condition is of D. Adams type and any additional assumption on the weight vv is not assumed.
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Authors
Vakhtang Kokilashvili, Mieczyslaw Mastyło, Alexander Meskhi,