Français
Of commutators and Jacobians
Post-edited
Authors : Hytönen, Tuomas P. (Author of the conference)
CIRM (Publisher )
42B20 - Singular and oscillatory integrals, several variables
42B35 - Function spaces arising in harmonic analysis
CIRM (Publisher )
Loading the player...
|
| Jacobian equation Iwaniec conjecture Ahlfors-Beurling operator commutator theorem bounded mean oscillation Lerner's formula randomisation questions from the audience |
Abstract :
The boundedness (on $L^p$ spaces) of commutators $[b,T] = bT-Tb$ of pointwise multiplication $b$ and singular integral operators $T$ has been well studied for a long time. Curiously, the necessary conditions for this boundedness to happen are generally less understood than the sufficient conditions, for instance what comes to the assumptions on the operator $T$. I will discuss some new results in this direction, and show how this circle of ideas relates to the mapping properties of the Jacobian (the determinant of the derivative matrix) on first order Sobolev spaces. This is work in progress at the time of submitting the abstract, so I will hopefully be able to present some fairly fresh material.
MSC Codes : 42B20 - Singular and oscillatory integrals, several variables
42B35 - Function spaces arising in harmonic analysis
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 26/04/2018 Conference Date : 24/04/2018 Subseries : Research talks arXiv category : Analysis of PDEs ; Complex Variables ; Functional Analysis Mathematical Area(s) : Analysis and its Applications ; PDE Format : MP4 (.mp4) - HD Video Time : 01:05:01 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-04-24_Hytonen.mp4 
|
Information on the Event
Event Title : Harmonic analysis of elliptic and parabolic partial differential equations / Analyse harmonique des équations aux dérivées partielles elliptiques et paraboliquesEvent Organizers : Monniaux, Sylvie ; Portal, Pierre Dates : 23/04/2018 - 27/04/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1741.html
Citation Data
DOI : 10.24350/CIRM.V.19398203Cite this video as: Hytönen, Tuomas P. (2018). Of commutators and Jacobians. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19398203 URI : http://dx.doi.org/10.24350/CIRM.V.19398203 |
See Also
- [Multi angle] $H^\infty$-calculus and the heat equation with rough boundary conditions / Author of the conference Veraar, Mark.
- [Multi angle] Recent approaches based on harmonic analysis for the study of non regular solutions to the Navier-Stokes equations with variable density / Author of the conference Danchin, Raphaël.
- [Multi angle] The weak-$A_\infty$ condition for harmonic measure / Author of the conference Tolsa, Xavier.
Bibliography
