A Note on Gaussian BV Function and Its Heat Semigroup Characterization
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@Article{JMS-54-250,
author = {Liu , XiaonaXie , Xiangyun and Liu , Yu},
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 = {
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's heat kernel characterization of function of bounded variation on Euclidean space to the case of Gauss space.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v54n3.21.02}, url = {http://global-sci.org/intro/article_detail/jms/18734.html} }
TY - JOUR
T1 - A Note on Gaussian BV Function and Its Heat Semigroup Characterization
AU - Liu , Xiaona
AU - Xie , Xiangyun
AU - Liu , Yu
JO - Journal of Mathematical Study
VL - 3
SP - 250
EP - 261
PY - 2021
DA - 2021/03
SN - 54
DO - http://doi.org/10.4208/jms.v54n3.21.02
UR - https://global-sci.org/intro/article_detail/jms/18734.html
KW - Heat Semigroup, Gauss Space, Bounded Variation Function.
AB -
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's heat kernel characterization of function of bounded variation on Euclidean space to the case of Gauss space.
Liu , XiaonaXie , Xiangyun and Liu , Yu. (2021). A Note on Gaussian BV Function and Its Heat Semigroup Characterization.
Journal of Mathematical Study. 54 (3).
250-261.
doi:10.4208/jms.v54n3.21.02
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