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math.CA2021★ 4 cited
Weighted Lorentz spaces: sharp mixed estimate for maximal functions
Natalia Accomazzo, Javier Duoandikoetxea, Zoe Nieraeth +2
We prove the sharp mixed weighted estimate for the Hardy-Littlewood maximal function in the context of weighted Lorentz spaces, namely \[ \|M\|_{L^{p,q}(w)} \les…
math.CA2021★ 13 cited
Operator-free sparse domination
Andrei K. Lerner, Emiel Lorist, Sheldy Ombrosi
We obtain a sparse domination principle for an arbitrary family of functions , where and is a cube in . When applied to operators, t…