1) weakly spatial locale
弱空间式locale
1.
In this note the concept of wealdy spatial locale is presented,we show that the category WSLoc of weakly spatial locales is a coreflection subcategory of the category Loc and the localic product of weakly spatial locale is still weakly spatial.
本文引入弱空间式locale,证明弱空间式locale范畴WSloc为范畴Loc的余反射满子范畴,且对locale秉积封闭。
2) Spatial Locale
空间式Locale
1.
The category SLoc of spatial locales is a coreflective subcategory of the category Loc of locales,but the product of spatial locales is not closed under localic product.
空间式locale范畴SLoc是locale范畴Loc的余反射满子范畴,但对locale乘积不封闭。
2.
The concept of weakly spatial locale is presented.
引入弱空间式locale的定义，证明弱空间式locale范畴WSloc为范畴Loc的余反射满子范畴，弱空间式locale的乘积是弱空间式的。
3) weak FU space
弱FU空间
4) weak Herz space
弱Herz空间
1.
This paper provided the boundary proof of Littlewood-Paley g~~~(*-)___λ function from Herz-type Hardy space H(K)·~(α,p)_q(R~n) to Herz space (K)·~(α,p)_q(R~n)(weak Herz space W(K)·~(α,p)_q(R~n)) if n1-1q≤α<n1-1q+(ε α=n1-1q+ε.
给出了当n1-1q≤α
2.
It is proved thatμΩ,b is bounded from the Herz-type Hardy space H■_q~(n(1-(1/q)),p)(R~n)into the weak Herz space W■_q~(n(1-(1/q)),p)(R~n)when 0＜p≤1 and 1＜q＜∞.
本文证明了交换子μΩ,b是从Herz型Hardy空间H■_q~(n(1-(1/q)),p)(R~n)到弱Herz空间W■_q~(n(1-(1/q)),p)(R~n)有界的,其中0＜p≤1,1＜q＜∞。
6) weak MCP space
弱MCP空间
1.
In this note,we introduce two new classes of spaces,called weak MCP spaces and weak stratifiable spaces,respectively.
本文引入了与已知的一些空间类非常类似的两个概念,我们分别称它们为弱MCP空间与弱层空间。
补充资料：弱无穷维空间
弱无穷维空间
weakly infinite-dimensional space
弱无穷维空间〔we刹y词训te~‘n犯‘田‘匆，ce;cJIa606ec劝。e，。oMepooen一ocTpaHc，」 一个拓扑空间(topologjcal sPace)X，使得对其闭子集偶对的任意无穷系(A，，B‘)， A，自B，=沪，i=1，2，…，存在(A与B;之间的)分划(Partition)C，，满足自c=必.不是弱无穷维的无穷维空间称为强无穷维(strongly inl训te dinle比ional)空间.弱无穷维空间也称为A弱无穷维(A一weakly沉肋ited由℃nsional)空间.若在上述定义中，进一步要求c，的某有限子族有空的交集，就得出S弱无穷维空间(S一weak】y顾-nite .dinlensio耐sPace)的概念.【补注】除上述外，A弱就是AneKcaHJIpoB弱(Akk-san山{。vweakly)，S弱就是CM即HoB弱(Snurnovweakly).还有一种已经弃之不用的概念Hurewicz弱无穷维空间(Hurewicz一wea脚infin讹一山住r朋io耐space)，见综述[AI]， 为避免“无穷维空间”这个词的混乱，空间X要求可度量化，见【A2].
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条