Off-diagonal bloom weighted estimates for bilinear commutators

2025/05/25 by Zeng, Yunan
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2505.19007

Abstract

We prove the off-diagonal estimates of the bilinear iterated commutators in the two-weight setting. The upper bound is established via sparse domination, and the lower bound is proved by the median method. Our methods are so flexible so that it can be easily extended to the multilinear scenario.

Citations

• Weighted L^p→ L^q-boundedness of commutators and paraproducts in the Bloom setting
• Two-weight inequalities for multilinear commutators in product spaces
• Multilinear commutators in the two-weight setting
• Some remarks on the pointwise sparse domination
• Lower bound of Riesz transform kernels and Commutator Theorems on\n stratified nilpotent Lie groups
• Two-weight inequalities for multilinear commutators
• On pointwise and weighted estimates for commutators of Calderón-Zygmund operators
• Sharp weighted bounds without testing or extrapolation
• New maximal functions and multiple weights for the multilinear Calderón–Zygmund theory
• Nonlinear potentials and two weight trace inequalities for general dyadic and radial kernels

Related

• Multilinear commutators in the two-weight setting
• Two-weight inequalities for multilinear commutators
• On two weight estimates for iterated commutators
• Multilinear dyadic operators and their commutators in the weighted setting
• Weighted estimates for a bilinear fractional integral operator and its commutator: A union condition