From the 1 of 26 linked papers with an AI index.
13 citations · 13 across the 13 of their papers we have counts for
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On low-dimensional uniform rectifiability in Heisenberg groups
Katrin Fässler, Andrea Pinamonti, Kilian Zambanini
Refining an earlier result due to Hahlomaa, we provide a new Carleson-type condition for -regular sets in the Heisenberg group to have big pieces of Lipschitz ima…
The Cheeger problem in abstract measure spaces
Valentina Franceschi, Andrea Pinamonti, Giorgio Saracco +1
We consider non-negative -finite measure spaces coupled with a proper functional that plays the role of a perimeter. We introduce the Cheeger problem in this framework and…
Stepanov Differentiability Theorem for intrinsic graphs in Heisenberg groups
Marco Di Marco, Andrea Pinamonti, Davide Vittone +1
We prove a Stepanov differentiability type theorem for intrinsic graphs in sub-Riemannian Heisenberg groups.
Maz'ya-Shaposhnikova meet Bishop-Gromov
Bang-Xian Han, Andrea Pinamonti, Zhefeng Xu +1
We find a surprising link between Maz'ya-Shaposhnikova's well-known asymptotic formula concerning fractional Sobolev seminorms and the generalized Bishop-Gromov inequality. In the…