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Preprint . 2012
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Article . 2012
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$BMO$ estimates for nonvariational operators with discontinuous coefficients structured on Hörmander's vector fields on Carnot groups

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Sep 2013Embargo end date: 01 Jan 2012 Italy Publisher:Khayyam Publishing, IncJournal:Advances in Differential Equations, volume 18 (issn: 1079-9389, Copyright policy )
Authors: Bramanti, Marco; FANCIULLO, Maria;

doi: 10.57262/ade/1372777765 , 10.48550/arxiv.1209.3601

arXiv: http://arxiv.org/abs/1209.3601

handle: 20.500.11769/14355

$BMO$ estimates for nonvariational operators with discontinuous coefficients structured on Hörmander's vector fields on Carnot groups

Abstract

We consider a class of nonvariational linear operators formed by homogeneous left invariant Hormander's vector fields with respect to a structure of Carnot group. The bounded coefficients of the operators belong to "vanishing logarithmic mean oscillation" class with respect to the distance induced by the vector fields (in particular they can be discontinuous). We prove local estimates in "local BMO" spaces intersected with the Lebesgue spaces. Even in the uniformly elliptic case our estimates improve the known results.

Country
Italy
Related Organizations
Keywords

43A80, Mathematics - Analysis of PDEs, FOS: Mathematics, 35H10, 42B20, 35B45, Analysis of PDEs (math.AP)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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