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Weighted multilinear Poincare inequalities for vector fields of Hoermander type

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Publication:2898363
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DOI10.1512/iumj.2011.60.4156zbMath1248.35006arXiv0909.1339OpenAlexW2964142592MaRDI QIDQ2898363

Virginia Naibo, Diego Maldonado, Kabe Moen

Publication date: 11 July 2012

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.1339

zbMATH Keywords

spaces of homogeneous type


Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Inequalities involving derivatives and differential and integral operators (26D10) Subelliptic equations (35H20) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)


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Sobolev-BMO and fractional integrals on super-critical ranges of Lebesgue spaces, Weighted inequalities for multilinear fractional operators in Dunkl setting, Weighted inequalities for multilinear potential operators and their commutators, Bilinear Sobolev-Poincaré inequalities and Leibniz-type rules, New weighted estimates for bilinear fractional integral operators, Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups, The Riesz potential as a multilinear operator into general \(\text{BMO}_{\beta}\) spaces



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