A weak-type estimate for commutators

0386963 - MÚ 2013 RIV US eng J - Journal Article
Grafakos, L. - Honzík, Petr
A weak-type estimate for commutators.
International Mathematics Research Notices. Roč. 2012, č. 20 (2012), s. 4785-4796. ISSN 1073-7928. E-ISSN 1687-0247
R&D Projects: GA AV ČR KJB100190901
Institutional research plan: CEZ:AV0Z10190503
Keywords : singular integral operators * Rough operators * 1 bounds
Subject RIV: BA - General Mathematics
Impact factor: 1.116, year: 2012
http://imrn.oxfordjournals.org/content/2012/20/4785

Let K be a smooth Calderon-Zygmund convolution kernel on R-2 and suppose that we are given a function alpha is an element of L-infinity. The two-dimensional commutator Tf(x) = integral K(x-y)f(y)integral((x,y)) a(z) dzdy was shown to be bounded on L-p(R-2), p > 1 by Christ and Journe [2]. In this article, we show that this operator is also of weak type (1,1).
Permanent Link: http://hdl.handle.net/11104/0219449