The authors prove off-diagonal and general-basis Rubio de Francia extrapolation for matrix weights, and show multiparameter bases satisfy the required maximal operator bound.
Weighted weak-type inequalities for maximal operators and singular integrals
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We prove quantitative, one-weight, weak-type estimates for maximal operators, singular integrals, fractional maximal operators and fractional integral operators. We consider a kind of weak-type inequality that was first studied by Muckenhoupt and Wheeden and later by Cruz-Uribe, Martell and Perez. We obtain quantitative estimates for these operators in both the scalar and matrix weighted setting using sparse domination techniques. Our results extend those obtained by Cruz-Uribe, Isralowitz, Moen, Pott, and Rivera-R\'ios for singular integrals and maximal operators when $p=1$.
fields
math.CA 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Off-diagonal matrix extrapolation for Muckenhoupt bases
The authors prove off-diagonal and general-basis Rubio de Francia extrapolation for matrix weights, and show multiparameter bases satisfy the required maximal operator bound.