Two-weight Norm Estimates for Multilinear Fractional Integrals in Classical Lebesgue Spaces
Functional Analysis
2014-08-01 v1
Abstract
We derive criteria governing two-weight estimates for multilinear fractional integrals and appropriate maximal functions. The two and one weight problems for multi(sub)linear strong fractional maximal operators are also studied; in particular, we derive necessary and sufficient conditions guaranteeing the trace type inequality for this operator. We also establish the Fefferman-Stein type inequality, and obtain one-weight criteria when a weight function is of product type. As a consequence, appropriate results for multilinear Riesz potential operator with product kernels follow.
Keywords
Cite
@article{arxiv.1407.8197,
title = {Two-weight Norm Estimates for Multilinear Fractional Integrals in Classical Lebesgue Spaces},
author = {Vakhtang Kokilashvili and Mieczyslaw Mastylo and Alexander Meskhi},
journal= {arXiv preprint arXiv:1407.8197},
year = {2014}
}
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16 pages