A Note on Gaussian BV Function and Its Heat Semigroup Characterization
Year: 2021
Author: Xiaona Liu, Xiangyun Xie, Yu Liu
Journal of Mathematical Study, Vol. 54 (2021), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v54n3.21.02
Journal of Mathematical Study, Vol. 54 (2021), Iss. 3 : pp. 250–261
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Heat Semigroup Gauss Space Bounded Variation Function.
Author Details
Xiaona Liu Email
Xiangyun Xie Email
Yu Liu Email