L_p(1<p<∞)上下半连续函数的HLDER-次微分性质

HLDER SUBDIFFERENTIAL OF LOWER SEMICONTINUOUS FUNCTIONS ON THE L_P(1<P<∞)

建立 Banach空间上次微分的逼近中值定理 ,关键是对连续凸函数 g,f的次微分 f必须满足 ( f+λg)( x) f( x) + λ g( x) ,本文在 Lp 上对 H o¨lder次微分来证明上述性质。

This present paper show that property of Hlder subdifferential of lower semicontinuous functions on the L P(1<p<∞)