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An estimate for surface measure of small balls in Carnot groups

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Publication:2176814
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zbMath1440.43018MaRDI QIDQ2176814

Alexey Rudenko

Publication date: 5 May 2020

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1586160084



Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Inequalities for sums, series and integrals (26D15) Analysis on other specific Lie groups (43A80)





Cites Work

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  • Some properties of the Itô-Wiener expansion of the solution of a stochastic differential equation and local times
  • Measure of submanifolds in the Engel group
  • Blow-up estimates at horizontal points and applications
  • Balls and metrics defined by vector fields. I: Basic properties
  • Hypoelliptic differential operators and nilpotent groups
  • An intrinsic measure for submanifolds in stratified groups
  • Stratified Lie Groups and Potential Theory for their Sub-Laplacians




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