Some fine properties of sets with finite perimeter in Wiener spaces

Michele Miranda Jr.. "Some fine properties of sets with finite perimeter in Wiener spaces." Banach Center Publications 101.1 (2014): 115-125. <http://eudml.org/doc/282572>.

@article{MicheleMirandaJr2014,
abstract = {In this paper we give a brief overview on the state of art of developments of Geometric Measure Theory in infinite-dimensional Banach spaces. The framework is given by an abstract Wiener space, that is a separable Banach space endowed with a centered Gaussian measure. The focus of the paper is on the theory of sets with finite perimeter and on their properties; this choice was motivated by the fact that most of the good properties of functions of bounded variation can be obtained, thanks to coarea formula, from the geometric properties of sets with finite perimeter.},
author = {Michele Miranda Jr.},
journal = {Banach Center Publications},
keywords = {Wiener space; functions of bounded variation; Ornstein-Uhlenbeck semigroup},
language = {eng},
number = {1},
pages = {115-125},
title = {Some fine properties of sets with finite perimeter in Wiener spaces},
url = {http://eudml.org/doc/282572},
volume = {101},
year = {2014},
}

TY - JOUR
AU - Michele Miranda Jr.
TI - Some fine properties of sets with finite perimeter in Wiener spaces
JO - Banach Center Publications
PY - 2014
VL - 101
IS - 1
SP - 115
EP - 125
AB - In this paper we give a brief overview on the state of art of developments of Geometric Measure Theory in infinite-dimensional Banach spaces. The framework is given by an abstract Wiener space, that is a separable Banach space endowed with a centered Gaussian measure. The focus of the paper is on the theory of sets with finite perimeter and on their properties; this choice was motivated by the fact that most of the good properties of functions of bounded variation can be obtained, thanks to coarea formula, from the geometric properties of sets with finite perimeter.
LA - eng
KW - Wiener space; functions of bounded variation; Ornstein-Uhlenbeck semigroup
UR - http://eudml.org/doc/282572
ER -