Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators

Arpad Benyi; Tadahiro Oh

doi:10.1007/s00041-013-9312-3

Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators

Arpad Benyi, Tadahiro Oh

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Commutators of bilinear pseudodifferential operators with symbols in the H\"ormander class $BS_{1, 0}^1$ and multiplication by Lipschitz functions are shown to be bilinear Calder\'on-Zygmund operators. A connection with a notion of compactness in the bilinear setting for the iteration of the commutators is also made.

Original language	English
Pages (from-to)	282-300
Number of pages	16
Journal	Journal of Fourier Analysis and Applications
Volume	20
Issue number	2
DOIs	https://doi.org/10.1007/s00041-013-9312-3
Publication status	Published - 2014

Access to Document

10.1007/s00041-013-9312-3

Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators
The final publication is available at Springer via http://dx.doi.org/10.1007/s00041-013-9312-3.
Accepted author manuscript, 194 KB

http://link.springer.com/article/10.1007%2Fs00041-013-9312-3

Cite this

@article{ab8dcc803ce84927b4febfccd9c83928,

title = "Smoothing of commutators for a H{\"o}rmander class of bilinear pseudodifferential operators",

abstract = "Commutators of bilinear pseudodifferential operators with symbols in the H\{"}ormander class $BS_{1, 0}^1$ and multiplication by Lipschitz functions are shown to be bilinear Calder\'on-Zygmund operators. A connection with a notion of compactness in the bilinear setting for the iteration of the commutators is also made.",

author = "Arpad Benyi and Tadahiro Oh",

year = "2014",

doi = "10.1007/s00041-013-9312-3",

language = "English",

volume = "20",

pages = "282--300",

journal = "Journal of Fourier Analysis and Applications",

issn = "1069-5869",

publisher = "Birkhause Boston",

number = "2",

}

TY - JOUR

T1 - Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators

AU - Benyi, Arpad

AU - Oh, Tadahiro

PY - 2014

Y1 - 2014

N2 - Commutators of bilinear pseudodifferential operators with symbols in the H\"ormander class $BS_{1, 0}^1$ and multiplication by Lipschitz functions are shown to be bilinear Calder\'on-Zygmund operators. A connection with a notion of compactness in the bilinear setting for the iteration of the commutators is also made.

AB - Commutators of bilinear pseudodifferential operators with symbols in the H\"ormander class $BS_{1, 0}^1$ and multiplication by Lipschitz functions are shown to be bilinear Calder\'on-Zygmund operators. A connection with a notion of compactness in the bilinear setting for the iteration of the commutators is also made.

U2 - 10.1007/s00041-013-9312-3

DO - 10.1007/s00041-013-9312-3

M3 - Article

VL - 20

SP - 282

EP - 300

JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

SN - 1069-5869

IS - 2

ER -

Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators

Abstract

Access to Document

Fingerprint

Cite this