A unified method for maximal truncated Calder\'on-Zygmund operators in general function spaces by sparse domination

28 Oct 2019  ·  Anderson Theresa C., Hu Bingyang ·

In this note we give simple proofs of several results involving maximal truncated Calde\'on-Zygmund operators in the general setting of rearrangement invariant quasi-Banach function spaces by sparse domination. Our techniques allow us to track the dependence of the constants in weighted norm inequalities; additionally, our results hold in $\mathbb{R}^n$ as well as in many spaces of homogeneous type...

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Classical Analysis and ODEs