Embedding snowflakes of Carnot groups into bounded dimensional Euclidean spaces with optimal distortion [PDF]
, 2022 Seung-Yeon Ryoo
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On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds [PDF]
, 2018 Fabrice Baudoin +2 more
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Hardy-Littlewood-Sobolev Type Inequality and Stein-Wiess Type Inequality on Carnot Groups [PDF]
, 2022 Tingxi Hu, Pengcheng Niu
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Morrey estimates for subelliptic p-Laplace type systems with VMO coefficients in Carnot groups
Electronic Journal of Differential Equations, 2016 In this article, we study estimates in Morrey spaces to the horizontal gradient of weak solutions for a class of quasilinear sub-elliptic systems of p-Laplace type with VMO coefficients under the controllable growth over Carnot group if p is not too
Haiyan Yu, Shenzhou Zheng
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A C^k Lusin approximation theorem for real-valued functions on Carnot groups
Indiana University Mathematics Journal, 2023 Marco Capolli +2 more
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Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces
Analysis and Geometry in Metric SpacesGiven a homeomorphism f:X→Yf:X\to Y between QQ-dimensional spaces X,YX,Y, we show that ff satisfying the metric definition of quasiconformality outside suitable exceptional sets implies that ff belongs to the Sobolev class Nloc1,p(X;Y){N}_{{\rm{loc}}}^{1,
Lahti Panu, Zhou Xiaodan
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Revista matemática iberoamericana, 2023 Sebastiano Nicolussi Golo, B. Warhurst
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The coarea formula for projections of Lipschitz mappings on Carnot groups [PDF]
S. G. Basalaev
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Schauder estimates at the boundary for sub-laplacians in Carnot groups [PDF]
, 2019 Annalisa Baldi +2 more
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On the Maz'ya-Shaposhnikova formula in Orlicz-Sobolev spaces on Carnot groups [PDF]
, 2022 Marco Capolli +3 more
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