Operator-free sparse domination

Andrei K. Lerner, Emiel Lorist, Sheldy Ombrosi

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)


We obtain a sparse domination principle for an arbitrary family of functions Formula Presented, where Formula Presented and Q is a cube in Formula Presented. When applied to operators, this result recovers our recent works [37, 39]. On the other hand, our sparse domination principle can be also applied to non-operator objects. In particular, we show applications to generalised Poincaré-Sobolev inequalities, tent spaces and general dyadic sums. Moreover, the flexibility of our result allows us to treat operators that are not localisable in the sense of [39], as we will demonstrate in an application to vector-valued square functions.

Original languageEnglish
Pages (from-to)Paper No. e15, 28
JournalForum Math. Sigma
Publication statusPublished - 2022
Externally publishedYes


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