On Fractional Smoothness of Modulus of Functions
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@Article{AAM-37-394,
author = {Li , Dong},
title = {On Fractional Smoothness of Modulus of Functions},
journal = {Annals of Applied Mathematics},
year = {2021},
volume = {37},
number = {3},
pages = {394--404},
abstract = {
We consider the Nemytskii operators $u\to |u|$ and $u\to u^{\pm}$ in a bounded domain $\Omega$ with $C^2$ boundary. We give elementary proofs of the boundedness in $H^s(\Omega)$ with $0\le s<3/2$.
}, issn = {}, doi = {https://doi.org/10.4208/aam.OA-2021-0006}, url = {http://global-sci.org/intro/article_detail/aam/19852.html} }
TY - JOUR
T1 - On Fractional Smoothness of Modulus of Functions
AU - Li , Dong
JO - Annals of Applied Mathematics
VL - 3
SP - 394
EP - 404
PY - 2021
DA - 2021/09
SN - 37
DO - http://doi.org/10.4208/aam.OA-2021-0006
UR - https://global-sci.org/intro/article_detail/aam/19852.html
KW - Nemytskii, nonlocal extension, fractional Laplacian.
AB -
We consider the Nemytskii operators $u\to |u|$ and $u\to u^{\pm}$ in a bounded domain $\Omega$ with $C^2$ boundary. We give elementary proofs of the boundedness in $H^s(\Omega)$ with $0\le s<3/2$.
Dong Li. (1970). On Fractional Smoothness of Modulus of Functions.
Annals of Applied Mathematics. 37 (3).
394-404.
doi:10.4208/aam.OA-2021-0006
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