摘要
1 Introduction Let r be a natural number, P<sub>r</sub>（t）=（t-t<sub>j</sub>）, t<sub>j</sub>∈R, j=1,…, r, and P<sub>r</sub>（D）（D=-d/（dt）） be the induced differential operator of P<sub>r</sub>（t）. Let 1≤p, q, s≤∞. We introduce some new classes of smooth functions defined on R as follows: W<sub>pqs</sub>（P<sub>r</sub>）=:{f∈L<sub>S</sub>（R）; f<sup>（r-1）</sup> is locally absolutely continuous on R and ‖P<sub>r</sub>（D）f‖<sub>pq</sub>≤1}. Here the norm ‖·‖<sub>pq</sub> as in Ref. [1] is defined
基金
Project supported by the National Natural Science Foundation of China.
