18 citations · 62 across the 31 of their papers we have counts for
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math.MG2014
Geodesics in the Heisenberg group
Piotr Hajłasz, Scott Zimmerman
We provide a new and elementary proof for the structure of geodesics in the Heisenberg group . The proof is based on a new isoperimetric inequality for closed curves…
math.FA2014★ 2 cited
A Marcinkiewicz integral type characterization of the Sobolev space
Piotr Hajłasz, Zhuomin Liu
In this paper we present a new characterization of the Sobolev space , which is a higher dimensional version of a result of Waterman. We also provide a new an…
math.GT2014
On conditions for unrectifiability of a metric space
Piotr Hajłasz, Soheil Malekzadeh
We find necessary and sufficient conditions for a Lipschitz map , into a metric space to have the image with the -dimensional Hausdorff measure equal zero, $…