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Two-weight Norm Estimates for Multilinear Fractional Integrals in Classical Lebesgue Spaces

Authors
  • Kokilashvili, Vakhtang
  • Mastylo, Mieczyslaw
  • Meskhi, Alexander
Type
Preprint
Publication Date
Jul 30, 2014
Submission Date
Jul 30, 2014
Identifiers
arXiv ID: 1407.8197
Source
arXiv
License
Yellow
External links

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.

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