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math.CA2024
On those Weights Satisfying a Weak-Type Inequality for the Maximal Operator and Fractional Maximal Operator
Brandon Sweeting
In \cite{MR447956}, Muckenhoupt and Wheeden formulated a weighted weak inequality where the weight for the weak space is treated as a multiplier rather than a measure…
math.CA2024
Weighted weak-type bounds for multilinear singular integrals
Zoe Nieraeth, Cody B. Stockdale, Brandon Sweeting
We establish analogs of sharp weighted weak-type bounds for -sublinear operators satisfying sparse form domination, including multilinear Calderón-Zygmund singular integrals. Ou…
math.CA2023
Weighted weak-type inequalities for maximal operators and singular integrals
David Cruz-Uribe, Brandon Sweeting
We prove quantitative, one-weight, weak-type estimates for maximal operators, singular integrals, fractional maximal operators and fractional integral operators. We consider a kind…