Results 221 to 230 of about 12,282,130 (266)

The Fractional Powers of the Sub-Laplacian in Carnot Groups Through an Analytic Continuation

Francesca Corni, Fausto Ferrari
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Detecting abnormal cell behaviors from dry mass time series. [PDF]

Sci Rep
Bailly R, Malfante M, Allier C, Paviolo C, Ghenim L, Padmanabhan K, Bardin S, Mars J.   +7 more
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On the subRiemannian cut locus in a model of free two-step Carnot group

Calculus of Variations and Partial Differential Equations, 2016
We characterize the subRiemannian cut locus of the origin in the free Carnot group of step two with three generators, giving a new, independent proof of a result by Myasnichenko (J Dyn Control Syst 8(4):573-597, 2002).
A. Montanari, Daniele Morbidelli
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Intrinsic diophantine approximation in Carnot groups and in the Siegel model of the Heisenberg group

Monatshefte für Mathematik (Print), 2020
We study an intrinsic notion of Diophantine approximation on a rational Carnot group G . If G has Hausdorff dimension Q , we show that its Diophantine exponent is equal to $$(Q+1)/Q$$ ( Q + 1 ) / Q , generalizing the case $$G=\mathbb {R}^n$$ G = R n . We
Anton Lukyanenko, J. Vandehey
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Hardy-Type Inequalities for the Carnot–Carathéodory Distance in the Heisenberg Group

Journal of Geometric Analysis, 2020
In this paper we study Hardy inequalities in the Heisenberg group $${\mathbb {H}}^n$$ H n , with respect to the Carnot–Carathéodory distance $$\delta $$ δ from the origin.
Valentina Franceschi, Dario Prandi
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Characterizations for the fractional maximal commutator operator in generalized Morrey spaces on Carnot group

Integral transforms and special functions, 2019
In this paper, we will obtain the new results of the strong and weak Spanne-Guliyev, Adams-Guliyev and Adams-Gunawan type boundedness characterization of the fractional maximal operator in generalized Morrey spaces, respectively. Moreover, we will give a
V. Guliyev, I. Ekincioğlu, Esra Kaya, Zaman Safarov   +3 more
semanticscholar   +1 more source

Riemannian approximation in Carnot groups

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2021
We present self-contained proofs of the stability of the constants in the volume doubling property and the Poincaré and Sobolev inequalities for Riemannian approximations in Carnot groups. We use an explicit Riemannian approximation based on the Lie algebra structure that is suited for studying nonlinear subelliptic partial differential equations.
András Domokos, Juan J. Manfredi, Diego Ricciotti   +2 more
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The Agrachev–Barilari–Boscain Method and Estimates for the Number of Segments of Horizontal Broken Lines Joining Points in the Canonical Carnot Group $$G_{3,3}$$

Proceedings of the Steklov Institute of Mathematics, 2023
A. Greshnov
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Polar coordinates in Carnot groups

Mathematische Zeitschrift, 2002
We describe a procedure for constructing ”polar coordinates” in a certain class of Carnot groups. We show that our construction can be carried out in groups of Heisenberg type and we give explicit formulas for the polar coordinate decomposition in that setting.
Zoltán M. Balogh, Jeremy T. Tyson
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Optimal estimates of the number of links of basis horizontal broken lines for 2-step Carnot groups with horizontal distribution of corank 1

Russian Universities Reports. Mathematics
For a 2-step Carnot group D_n, "dim" D_n=n+1, with horizontal distribution of corank 1, we proved that the minimal number N_(X_(D_n ) ) such that any two points u,v∈D_n can be joined by some basis horizontal k-broken line (i.e.
A. Greshnov, R. I. Zhukov
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