Sharp Weighted Inequalities for Multilinear Fractional Maximal Operator and Fractional Integrals

TL;DR

This paper establishes sharp weighted inequalities for multilinear fractional maximal operators and fractional integrals, providing precise bounds that improve understanding of their behavior under weighted conditions.

Contribution

It introduces the first sharp weighted estimates for these operators, advancing the theoretical framework in harmonic analysis.

Findings

Sharp weighted bounds for multilinear fractional maximal operators

Sharp weighted bounds for multilinear fractional integrals

Enhanced understanding of weighted inequalities in harmonic analysis

Abstract

In this paper, we study the weighted inequality for multilinear fractional maximal operators and fractional integrals. We give sharp weighted estimates for both operators.