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 seminorms which is equivalent to the usual family of semi...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 seminorms which is equivalent to the usual family of semi-norms on the Schwartz space S（R^2）.展开更多
基金supported by National Natural Science Foundation(NNSF)of China(11761030)Hubei Provincial Department of Education Science and Technology Research Project(B2015099)the Doctoral Science Foundation of Hubei University for Nationalities(4148009)
文摘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 seminorms which is equivalent to the usual family of semi-norms on the Schwartz space S（R^2）.
