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| THE SEMI-NORMS ON THE SCHWARTZ SPACE |
| Dan Mu,Changmao Li |
| (School of Science, Hubei University for Nationalities, Enshi 445000, Hubei, PR China) |
| DOI： |
| Abstract: |
| 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 $S(R^2)$. |
| Key words: Schwartz space; semi-norms; equivalent |