Operator-free sparse domination
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Publication:6505137
arXiv2106.16202MaRDI QIDQ6505137
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Abstract: We obtain a sparse domination principle for an arbitrary family of functions , where and is a cube in . When applied to operators, this result recovers our recent works. On the other hand, our sparse domination principle can be also applied to non-operator objects. In particular, we show applications to generalized Poincar'e-Sobolev inequalities, tent spaces, and general dyadic sums. Moreover, the flexibility of our result allows us to treat operators that are not localizable in the sense of our previous works, as we will demonstrate in an application to vector-valued square functions.
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