Sharp constants for composition with a bi-Lipschitz measure-preserving map

Bernicot, Frederic; Keraani, Sahbi

Document type :

Compte-rendu et recension critique d'ouvrage

Title :

Sharp constants for composition with a bi-Lipschitz measure-preserving map

Author(s) :

Bernicot, Frederic [Auteur]
Laboratoire de Mathématiques Jean Leray [LMJL]
Keraani, Sahbi [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Mathematical Research Letters

Pages :

937-952

Publisher :

International Press

Publication date :

2014

ISSN :

1073-2780

English keyword(s) :

BMO space
Composition
Measure-preserving map

HAL domain(s) :

Mathématiques [math]/Analyse classique [math.CA]

English abstract : [en]

In this note, we aim to describe sharp constants for the composition operator with a bi-Lipschitz measure-preserving map in several functional spaces (BMO, Hardy space, Carleson measures, ...). It is interesting to see how ...
Show more >In this note, we aim to describe sharp constants for the composition operator with a bi-Lipschitz measure-preserving map in several functional spaces (BMO, Hardy space, Carleson measures, ...). It is interesting to see how the measure preserving property allows us to improve these constants. Moreover, we will prove the optimality of our results for the BMO space and describe improved estimates for solutions of transport PDEs.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Analyse de Fourier Multilineaire et EDPs Nonlineaires
Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation

Comment :

12 pages

Collections :