摘要
本文继文献[1]讨论L_(p)(φ),E_(p)(φ)的一些估计,特别讨论■(φ)L_(q)的迹定理。1.空间L_(p)(z^(λ)φ_(1)),E_(p)(z^(λ)φ_(1))定义设■为一具非负系数的整函数,如果定义在E_(n)中某域Q(Q可为有界域或无界域)中的可测函数u(x),存在一正数α,使■(1)则称u∈L_(p)(φ,Q),如果对所有的实α>0,(1)式均成立,则称u∈E_(p)(φ,Q),φ=z^(λ)φ_(1)(x),若λ=1,则该空间就是我们过去所研究过的,我们有。
In this paper are discussed the trace theorems of the spaces ■L_(p)(φ)Ig which generalized the spaces ■(Q)investigated by B.A.СолониковThen they have been applied to the a priori estimates of parabolic equations and some of the results have been generalized.
作者
丁夏畦
罗佩珠
Ding Xia-xi;Lo Pei-chu
出处
《科学通报》
1979年第18期825-828,共4页
Chinese Science Bulletin
