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On commutators of vector BMO functions and multilinear singular integrals with non-smooth kernels

Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/115309

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Title: On commutators of vector BMO functions and multilinear singular integrals with non-smooth kernels
Related: Journal of mathematical analysis and applications, Vol. 371, Issue 1 (2010), p.80-94
DOI: 10.1016/j.jmaa.2010.03.058
Publisher: Elsevier
Date: 2010
FoR/RFCD Code(s): 010200 Applied Mathematics 010100 Pure Mathematics
Author/Creator: Anh, Bui The
Author/Creator: Duong, Xuan Thinh
Description: Let T be a bounded multilinear operator on some product of Lq(ℝn) spaces. Assume that T has a non-smooth associated kernel which satisfies certain weak regularity conditions but not regular enough to fall under the scope of the standard multilinear Calderón–Zygmund theory. The main aim of this paper is to establish a sufficient condition on the kernel of T so that the commutator of a vector BMO function (data missing) and T is bounded on certain product Lq(ℝn) spaces. We obtain boundedness of the commutator of (data missing) and T by first proving certain pointwise estimates on the Fefferman–Stein sharp maximal operator. An important example of multilinear operators which satisfy our kernel conditions is the maximal mth order Calderón commutator.
Description: 15 page(s)
Subject Keyword: 010200 Applied Mathematics
Subject Keyword: 010100 Pure Mathematics
Subject Keyword: multilinear singular integrals
Subject Keyword: maximal singular integral
Subject Keyword: weighted norm inequalities
Subject Keyword: generalized Calderón–Zygmund operator
Subject Keyword: commutators
Resource Type: journal article
Organisation: Macquarie University. Dept. of Mathematics

Identifier: http://hdl.handle.net/1959.14/115309
Identifier: ISSN:0022-247X
Identifier: mq-rm-2010003625
Language: eng
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