15 citations · 33 across the 19 of their papers we have counts for
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math.AP2014
A fractional isoperimetric problem in the Wiener space
Matteo Novaga, Diego Pallara, Yannick Sire
We introduce a notion of fractional perimeter in an abstract Wiener space, and we show that halfspaces are the only volume-constrained minimisers.
math.AP2014★ 4 cited
-elliptic regularity and on the whole -scale on arbitrary manifolds
Davide Guidetti, Batu Güneysu, Diego Pallara
We define abstract Sobolev type spaces on -scales, , on Hermitian vector bundles over possibly noncompact manifolds, which are induced by smooth meas…
math.FA2014
BV functions on convex domains in Wiener spaces
Alessandra Lunardi, Michele Miranda, Diego Pallara
We study functions of bounded variation defined in an abstract Wiener space X, relating the variation of a function u on a convex open set O in X to the behavior near t=0 of T(t)u,…