Journal article
REDUCTION OF CALDERÓN COMMUTATORS
The Bulletin of the London Mathematical Society, Vol.30(1), pp.67-72
01/1998
DOI: 10.1112/S002460939700369X
Abstract
Let A1,…, An
be Lipschitz functions on R such that
A′1,…,
A′n∈VMO. We show that on any
bounded interval, the Calderón commutator associated with the kernel
(A1(x)−A1(y))
…(An(x)
−An(y))/(x−y)
n+1 is a compact perturbation of
−πiHMA′1…
A′n, where H is
the Hilbert transform.
Details
- Title: Subtitle
- REDUCTION OF CALDERÓN COMMUTATORS
- Creators
- PAUL S MUHLY - Department of Mathematics, The University of Iowa, Iowa City, IA 52242, USAJINGBO XIA - Department of Mathematics, State University of New York at Buffalo, Buffalo, NY 14214, USA
- Resource Type
- Journal article
- Publication Details
- The Bulletin of the London Mathematical Society, Vol.30(1), pp.67-72
- Publisher
- Cambridge University Press
- DOI
- 10.1112/S002460939700369X
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- Number of pages
- 6
- Language
- English
- Date published
- 01/1998
- Academic Unit
- Mathematics; Statistics and Actuarial Science
- Record Identifier
- 9984083255702771
Metrics
17 Record Views