@Article{JMS-54-3,
author = {Xiaona, Liu and Xie, Xiangyun and Yu, Liu},
title = {A Note on Gaussian BV Function and Its Heat Semigroup Characterization},
journal = {Journal of Mathematical Study},
year = {2021},
volume = {54},
number = {3},
pages = {250--261},
abstract = {<p style="text-align: justify;">In this note, we investigate the properties of Gaussian BV functions and give
a heat semigroup characterization of BV functions in Gauss space. In particular, the latter is the nontrivial generalization of classical De Giorgi&#39;s heat kernel characterization
of function of bounded variation on Euclidean space to the case of Gauss space.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v54n3.21.02},
url = {https://global-sci.com/article/87677/a-note-on-gaussian-bv-function-and-its-heat-semigroup-characterization}
}