Two-weight inequalities for commutators with fractional integral operators

I Holmes, R Rahm, S Spencer - arXiv preprint arXiv:1510.05331, 2015 - arxiv.org
In this paper we investigate weighted norm inequalities for the commutator of a fractional
integral operator and multiplication by a function. In particular, we show that, for …

Off-diagonal sharp two-weight estimates for sparse operators

S Fackler, TP Hytönen - arXiv preprint arXiv:1711.08274, 2017 - arxiv.org
For a class of sparse operators including majorants of singular integral, square function, and
fractional integral operators in a uniform manner, we prove off-diagonal two-weight …

Weights and quantitative estimates in the Schrödinger setting

J Li, R Rahm, BD Wick - Mathematische Zeitschrift, 2019 - Springer
Abstract Suppose L=-Δ+ VL=-Δ+ V is a Schrödinger operator on R^ n R n with a potential V
belonging to certain reverse Hölder class RH_ σ RH σ with σ ≥ n/2 σ≥ n/2. The aim of this …

Two-weight inequalities for multilinear maximal functions in Orlicz spaces

JM Tanoh Dje, BF Sehba - Banach Journal of Mathematical Analysis, 2023 - Springer
Two-weight inequalities for multilinear maximal functions in Orlicz spaces | Banach Journal of
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[HTML][HTML] A generalization of the Carleson lemma and weighted norm inequalities for the maximal functions in the Orlicz setting

JMT Dje, J Feuto, BF Sehba - Journal of Mathematical Analysis and …, 2020 - Elsevier
In this note we introduce the notion of Φ-Carleson sequence for Φ a convex growth function
and provide an equivalent characterization that is an extension of the off-diagonal Carleson …

Off-Diagonal Two Weight Bumps for Fractional Sparse Operators

R Rahm - Analysis Mathematica, 2023 - Springer
In this paper, we continue some recent work on two weight boundedness of sparse
operators to the “off-diagonal” setting. We use the new “entropy bumps” introduced in by …

Two-weight entropy boundedness of multilinear fractional type operators

M Cao, Q Xue - arXiv preprint arXiv:1602.06486, 2016 - arxiv.org
This paper will be devoted to study the two-weight norm inequalities of the multilinear
fractional maximal operator $\mathcal {M} _ {\alpha} $ and the multilinear fractional integral …

Weighted Inequalities for Three Operators

R Rahm - 2017 - search.proquest.com
This thesis deals with weighted inequalities for three operators. In the most general
formulation, we are given a family of operators {T α} α∈ A and two measure spaces (μ, X) …