Mixed commutators and little product BMO
| hal.structure.identifier | Brown University | |
| dc.contributor.author | OU, Yumeng | |
| hal.structure.identifier | Institut de Mathématiques de Toulouse UMR5219 [IMT] | |
| hal.structure.identifier | Institut universitaire de France [IUF] | |
| dc.contributor.author | PETERMICHL, Stefanie | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | STROUSE, Elizabeth | |
| dc.date.accessioned | 2024-04-04T03:19:12Z | |
| dc.date.available | 2024-04-04T03:19:12Z | |
| dc.date.created | 2015-01 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194484 | |
| dc.description.abstractEn | We consider iterated commutators of multiplication by a symbol function and tensor products of Hilbert or Riesz transforms. We establish mixed BMO classes of symbols that characterize boundedness of these objects in $L^p$. Little BMO and product BMO, big Hankel operators and iterated commutators are the base cases of our results. We use operator theoretical methods and existing profound results on iterated commutators for the Hilbert transform case, while the general result in several variables is obtained through the construction of a Journ\'e operator that models the behavior of the multiple Hilbert transform. Upper estimates for commutators with paraproduct free Journ\'e operators as well as weak factorisation results are proven. | |
| dc.description.sponsorship | Aux frontières de l'analyse Harmonique - ANR-12-BS01-0013 | |
| dc.language.iso | en | |
| dc.subject.en | Commutators with bounded mean oscillation functions | |
| dc.subject.en | Multi-parameter | |
| dc.title.en | Mixed commutators and little product BMO | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-01109050 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01109050v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=OU,%20Yumeng&PETERMICHL,%20Stefanie&STROUSE,%20Elizabeth&rft.genre=preprint |
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