Abstract
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 language | English |
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Journal | Forum of Mathematics, Sigma |
Volume | 10 |
DOIs | |
State | Published - 28 Feb 2022 |
Bibliographical note
Publisher Copyright:© The Author(s), 2022. Published by Cambridge University Press
Funding
The second author was supported by the Academy of Finland through Grant No. 336323. The third author was partially supported by ANPCyT PICT 2018-2501.
Funders | Funder number |
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Academy of Finland | 336323 |
Agencia Nacional de Promoción Científica y Tecnológica | PICT 2018-2501 |
Keywords
- 42B20
- 42B25