Limiting Embedding
نویسنده
چکیده
1 I n t r o d u c t i o n This is a fol low-up o f our paper [3], where we establish that l i~(l _ s) f~ fn lf(x) f(Y)lPd~ d p ~ yld-77;~p y ~ IIVSIIL~(.), for any p E [1, oo), where f~ is a smooth bounded domain in lRd,d > 1. On the other hand, if 0 < s < 1, p > 1 and sp < d, the Sobolev inequality for fractional Sobolev spaces (see, e.g., [1], Theorem 7.57 or [6], Sect ion 3.3) asserts that (2) where (3) P IIfll~..,~(.) > C(a,p,d)llf-ffllLq(n),
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تاریخ انتشار 2007