关于各向异性范数下径向引理的推广

On the Generation of Radial Lemma under Anisotropic Norms

文章研究Sobolev空间W^(1,n)(R^(n))中的径向函数在各向异性范数下的相关估计问题。用各向异性范数代替通常Sobolev范数,并利用实分析、凸重排理论结合Hölder不等式和Young不等式得出径向引理不等式,推广已有的径向引理,对径向函数做出估计。

The correlation estimation problem of radial functions in Sobolev space W^(1,n)(R^(n))under anisotropic norms is studied.The usual Sobolev norm is replaced with anisotropic norm,and real analysis,convex rear⁃rangement theory are used together with Hölder inequality and Young inequality to obtain radial lemma in⁃equality.The existing radial lemma is generalized,and the radial functions are estimated.