Characterizations of Weighted Besov Spaces with Variable Exponents

In this paper,we first give characterizations of weighted Besov spaces with variable exponents via Peetre’s maximal functions.Then we obtain decomposition characterizations of these spaces by atom,molecule and wavelet.As an application,we obtain the boundedness of the pseudo-differential operators on these spaces.

有限CN-p-群

每个子群都C-正规的有限群称为CN-群.本文首先给出二元生成的CN-p-群的完全分类.在此基础上得到CN-p-群的结构:当p为奇素数时,有限群G为CNp-群当且仅当G的每个元都平凡地作用在Φ(G)上;有限群G为CN-2-群当且仅当对任意给定的a∈G,都有对任意g∈Φ(G),g^a=g或者对任意g∈Φ(G),g^a=g^(-1).最后给出两个CN-p-群的直积是CN-p-群的判定条件.

某些子群介于正规与反正规之间的有限群

有限群G的子群H称为G的BNA子群,若对任意的x∈G有H^(x)=H或x∈<H,H^(x)>.若有限群G的所有素数阶和4阶循环子群都是G的BNA子群,则称G为CBNA群.本文主要刻画CBNA群的结构,并且给出所有真子群都是CBNA群的完全分类.