p-函数的最大值问题
THE MAXIMAL VALUE PROBLEM OF p-FUNCTIONS
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摘要: 以\mathscrP记全体标准p-函数,设固定p0∈\mathscrP且0<u<T。定义:L(p0,u,T)=sup(p(t):p∈\mathscrP,p(s)=p0(s),0≤s≤u)则得结论: L(p0,u,T)=L(p0,u,3u),T≥3u。Abstract: Denote by \mathscrP all standand p-functions. Let p0be a stable standard p-function and 0<u<T. Define L(p0,u,T)=sup(p(t):p∈\mathscrP,p(s)=p0(s),0≤s≤u) Theorem. L(p0,u,T)=L(p0,u,3u),T≥3u.