TY - JOUR
T1 - The Semi-Norms on the Schwartz Space
AU - Mu , Dan
AU - Li , Changmao
JO - Annals of Applied Mathematics
VL - 4
SP - 391
EP - 399
PY - 2022
DA - 2022/06
SN - 33
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20619.html
KW - Schwartz space, semi-norms, equivalent.
AB - <p style="text-align: justify;">Let $S(R^2)$ be the class of all infinitely differential functions which, as well as
their derivatives, are rapidly decreasing on $R^2.$ Here we define a kind of semi-norms which is equivalent to the usual family of semi-norms on the Schwartz
space $S(R^2).$</p>