共查询到20条相似文献,搜索用时 15 毫秒
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文献[1],[2],[3]中讨论了Rn上的局部Hardy空间,并利用乘子定理证明了hp(Rn)=Fp.20(Rn).本文利用Chebyshev等式及正则函数的性质证明了在局部域上有类似的结果hp(Rn)=Fp.20(Rn),从而建立起函数空间之间的关系,并由此给出一个乘子定理. 相似文献
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本文讨论了θ(t)型和(log,θ)型Calderón-Zygmund算子在加权Hardy型空间HAwp上的有界性,θ(t)型Calderón-Zygmund算子在Hardy型加权块空间上的有界性,以及广义的w-Calderón-Zygmund算子是HApw到HAp上的有界算子. 相似文献
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本文用代数方法建立了n维球面型空间Sn(K)和n维双曲空间Hn(K)中有限点集的点与点两两之间之距离的一类几何不等式,本文还建立了n维欧氏空间En中共球有限点集的一类几何不等式.作为本文结果的应用,简洁地得出[3]中的一个重要结果,并得出En中有限点集的两个几何不等式 相似文献
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设R和T是Noether完备半局部环,R→T是环同态.本文证明了,若T是有限生成或ArtinR-模,M为G-Matlis自反R-模,则对所有n≥0,ExtRn(T,M),ExtRn(M,T),TorRn(T,M)以及TorRn(M,T)均是G-Matlis自反T-模.所得结果推广了R.Belshof的结果. 相似文献
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定理1设R是半值环,n为固定的正整数,如果R满足条件:存在依赖于(?)x,y的两个字k(X,Y),t(X,Y),其中|k|X>1,|t|X=1,|k|Y≥|t|Y,|t|Y≤n,使k(x,y)-t(x,y)∈I(R),则R是交换环。定理2设R是半值环,如果R满足条件:存在正整数m=m(x,y)>1,n=n(y),使得(xny)m-x 相似文献
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本文求出了Sobolev空间Lk∞,BMOk与Lkp,Hkp(0 < p < ∞)之间的实内插空间. 相似文献
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设Rf(p)∈R[a,b]是函数f的最佳有理Lp(1≤p<∞)逼近,Ef(p)=‖f-Rf(p)‖p。本文证明了Ef(p)/(b-a)1/p是p单调增加且有界的函数。当f∈L∞时,f的最佳有理L∞逼近必存在。 相似文献
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《Journal of Functional Analysis》2023,284(1):109739
We give a sufficient (and, in the case of a compact domain, a necessary) condition for the embedding of Sobolev space of functions with integrable gradient into Besov-Orlicz spaces to be bounded. The condition has a form of a simple integral inequality involving Young and weight functions. We provide an example with Matuszewska-Orlicz indices of involved Orlicz norm equal to one. The main tool is the molecular decomposition of functions from a BV space. 相似文献
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In this note, we characterize finite three-dimensional affine spaces as the only linear spaces endowed with set Ω of proper subspaces having the properties (1) every line contains a constant number of points, say n, with n>2; (2) every triple of noncollinear points is contained in a unique member of Ω; (3) disjoint or coincide is an equivalence relation in Ω with the additional property that every equivalence class covers all points. We also take a look at the case n=2 (in which case we have a complete graph endowed with a set Ω of proper complete subgraphs) and classify these objects: besides the affine 3-space of order 2, two small additional examples turn up. Furthermore, we generalize our result in the case of dimension greater than three to obtain a characterization of all finite affine spaces of dimension at least 3 with lines of size at least 3. 相似文献
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We show that (generalized) Calkin correspondence between quasi-normed symmetric sequence spaces and symmetrically quasi-normed ideals of compact operators on an infinite-dimensional Hilbert space preserves completeness. We also establish a semifinite version of this result. 相似文献
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In this paper we identify some properties on the point-line structure of Grassmannians which are useful tools to characterize the incidence geometry of Grassmann varieties and of their special quotients. 相似文献
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Kyriakos Keremedis Eleftherios Tachtsis 《Proceedings of the American Mathematical Society》2007,135(4):1205-1211
We show that the existence of a countable, first countable, zero-dimensional, compact Hausdorff space which is not second countable, hence not metrizable, is consistent with ZF.
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深入研究了Banach空间X的二次对偶空间的k-光滑性,给出了Banach空间X的二次对偶空间为k-光滑的若干特征刻画. 相似文献
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Antonio S. Granero Henryk Hudzik 《Proceedings of the American Mathematical Society》1996,124(12):3777-3787
In this paper we study some structural and geometric properties of the quotient Banach spaces , where is an arbitrary set, is an Orlicz function, is the corresponding Orlicz space on and , being the ideal of elements with finite support. The results we obtain here extend and complete the ones obtained by Leonard and Whitfield (Rocky Mountain J. Math. 13 (1983), 531-539). We show that is not a dual space, that , if for every , that has no smooth points, that it cannot be renormed equivalently with a strictly convex or smooth norm, that is a Grothendieck space, etc.