推 math1209:yes 04/22 13:51
→ cadairka:請問要怎麼證? 04/22 14:14
推 math1209:因為 f_k converges weakly, 所以 {f_k} is bdd. 04/22 17:51
→ math1209:又 f_k converges to g a.e. 04/22 17:51
→ math1209:由 converges a.e. + bdd => converges weakly. 04/22 17:52
→ math1209:因此, f_k -> g weakly in L^2 also. 04/22 17:52
推 math1209:這件事情對 L^p, p in (1,oo) 都對. 04/22 17:55
→ cadairka:sorry, why 由 converges a.e. + bdd => converges weakl 04/22 21:09
推 math1209:自己證明阿 = = 04/22 22:20
→ cadairka:I got it , thank you . 04/22 22:22