共查询到20条相似文献,搜索用时 62 毫秒
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设Hp(Rn)(00一致有界的乘子族,那么m为Hp(Tn)乘子。并且由此得到了Hp(Tn)乘子在低维空间上的限制性定理。 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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用乘子语言来刻画全纯函数的Taylor系数的方法,将Duren和Shields所得Hp到lq(0<p<1,p≤q≤∞)乘子的充分必要条件推广到Cn中有界对称上Hp空间,在q》2时,所得到结论不能再改进,而对q<2则是另一种乘子刻画,文中还用函数平均值的增长性来刻画Hp到Hq(0<p<q<∞)的乘子. 相似文献
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该文分两部分综述非交换Hp 空间理论的研究背景、发展线路以及某些最新进展.第一部分介绍非交换Hardy 空间理论, 包括有限次对角代数的基本性质 (如唯一正规态开拓性质、分解性质、对数模性、不变子空间性质等),Szeg\"{o} 与Riesz 型分解定理和H1-BMO 对偶定理等. 第二部分综述非交换
Hp鞅空间理论, 主要介绍各种非交换鞅不等式以及作者与合作者在非交换Hardy 鞅空间原子分解方面获得的最新结果. 该文还给出了非交换Hp空间理论有待解决的一些问题 和潜在的发展方向. 相似文献
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本文讨论了单位圆中Hardy空间H∞到p-Bloch空间βp的复合算子T1,φ加权复合算子Tψ,φ的有界性,也讨论了H∞到小p-Bloch空间β0p的复合算子T1,φ的有界性问题;另外还讨论了小p-Bloch空间到H∞空间的点乘子及小p-Bloch空间上复合算子的紧性等. 相似文献
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θ(t)-Calderón-Zygmund算子在群上的Hardy空间Hp(G)中的有界性 总被引:1,自引:0,他引:1
设G为局部域K上的2n+1维Heisenberg群,文献[1]给出了一类Hardy空间Hp(G),(0
p(G)(0
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令χ为RD-空间, 即Coifman和Weiss意义下的齐型空间且满足逆双倍条件. 设$\cx$具有“维数”n. 对α∈(0,∞), 分别记$H_\az^p(\cx)$, $H_{\rm d}^p(\cx)$和$H^{\ast,\, p}(\cx)$为$\cx$上相应于非切向极大函数, 二进极大函数和主极大函数的Hardy空间. 利用一个新建立的Calderón再生公式, 证明了当p∈ (1,∞]时这些Hardy空间等价于Lp(χ)及当p∈(n/(n+1), 1]时这些Hardy空间彼此等价. 对 p∈(n/(n+1), 1], 建立了H*,p}(χ) 的原子特征刻画; 进一步, 当p∈(n/(n+1), 1]时, 证明了H*,p(χ)与Coifman和Weiss意义下的原子Hardy空间等价. 此外, 证明了一个次线性算子T可以唯一延拓为Hp(χ)到某拟Banach空间B的有界算子当且仅当$T$将所有的(p, q)-原子, q∈(p, ∞)∩[1, ∞], 或者连续的(p,∞)-原子映为B中的一致有界集. 相似文献
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Hp(Rn×R+)(1<p<+∞)函数得渐近行为于70年代已获得整体上的描述,今利用扩张得空间EHp(Rn×R+)的不同层次间的内在关联,给出每个层次Hp函数的具体的渐近行为,以及EHp函数在整体上得渐近行为. 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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《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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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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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.
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张静 《高校应用数学学报(A辑)》2017,32(1)
给出连通的rectifiable空间是局部序列连通(或局部连通)的刻画,推广了拓扑群中的相应结果;利用rectifiable空间G中e的局部邻域基给出G是局部连通(或局部序列连通)的刻画;证明了若A是rectifiable空间G中的序列开子集,那么H=A是G的序列开rectifiable子空间. 相似文献
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We prove new extended forms of the Pólya-Szegö symmetrization principle. As a consequence new sharp embedding theorems for generalized Sobolev and Besov spaces are proved. 相似文献
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Joaquim Martín 《Journal of Mathematical Analysis and Applications》2008,344(1):99-123
We prove new extended forms of the Pólya-Szegö symmetrization principle in the fractional case. As a consequence we determine new results for rearrangement invariant hulls of generalized Besov spaces. 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