共查询到20条相似文献,搜索用时 93 毫秒
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介绍复球上Bergman空间实变理论的某些新进展,包括Bergman空间关于Carleson矩形的实变原子分解,极大函数和面积函数刻画以及运用帐篷空间的实变刻画.特别是,用齐次空间上向量值Calderón-Zygmund奇异积分算子理论研究Bergman积分算子的Lp有界性并给出了Bergman空间面积积分刻画的新证明... 相似文献
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用伴随的方式给出了拟连续domain以及其Scott闭集格(又叫广义完全分配格)的等价刻画。此外,本文证明了拟连续格关于函数空间是不封闭的,从而不能构成cartesian闭范畴。 相似文献
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给出集值函数McShane积分的定义,并用实值函数σ(x,F(t))的McShane积分刻画集值函数的McShane积分。 相似文献
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利用标准正交小波基下函数的展开系数来刻画Hardy空间H~1(R)已经得到了很好的证明.该文利用紧小波框架与标准正交小波基的关系及其性质,给出了Hardy空间H~1(R)在紧小波框架下函数展开系数的一个刻画. 相似文献
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众所周知,复合算子问题是函数空间的一个基本问题.就一般情形而言,依赖导数刻画的全纯函数空间其复合算子问题要比单复变时复杂.本文讨论了高维单位球上边界一般函数空间Fp,q,s(B)到Bloch型空间B~((q+n)/p)(B)复合算子有界或紧的充要条件问题,尤其给出了p≠q+n时紧性的简洁充要条件. 相似文献
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本文讨论了Fock空间上以径向函数和拟齐次函数为符号的Toeplitz算子的代数性质,给出了两个以径向函数为符号的Toeplitz算子的积仍为Toeplitz算子的充分必要条件,并且研究了以拟齐次函数为符号的Toeplitz算子的交换性. 相似文献
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We first give alternative expressions of some generalized countably compact spaces such as quasi-γ spaces, quasi-Nagata spaces, M#-spaces and wM-spaces with g-functions. Then by means of these expressions, we present some characterizations of the corresponding spaces with real-valued functions. 相似文献
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In the paper [properties defined with semi-continuous functions and some related spaces',Houston J.Math.,2015,41(3):1097–1106] properties(U L)~(wl)_m,(U L)~K_m and(U L)_m were defined and it was shown that spaces having these properties coincide with countably paracompact spaces,countably mesocompact spaces and countably metacompact spaces,respectively.In this paper,we continue with the study on the relationship between properties defined with real-valued functions and some covering properties.Some characterizations of countably compact spaces and pseudo-compact spaces in terms of real-valued functions are obtained. 相似文献
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给出了拓扑线性空间中的一个Drop定理.利用此Drop定理,证明了拓扑线性空间中的每个序列紧凸集具有Drop性质;每个可数紧闭凸集具有拟Drop性质.而且结出了拓扑线性空间中Drop性质和拟Drop性质的序列流特征.也讨论了Drop性质和拟Drop性质与泛函取极值之间的联系. 相似文献
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In the paper [Monotone countable paracompactness and maps to ordered topological vector spaces, Top. Appl., 2014, 169(3): 51–70], Yamazaki initiated the study on maps with values into ordered topological vector spaces. Characterizations of monotonically countably paracompact spaces and some other spaces in terms of maps to ordered topological vector spaces were obtained. In this paper, following Yamazaki's method, we present some characterizations of stratifiable spaces and k-semi-stratifiable spaces in terms of maps with values into ordered topological vector spaces. 相似文献
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In this paper, we introduce a monotone version of cb-spaces, monotone cb-spaces (mcb-spaces). This property is shown to relate closely to insertion of continuous functions. We give some characterizations of mcb-spaces and investigate the relations among mcb-spaces and cb-spaces, countably compact spaces, stratifiable spaces, MCP and MCM. 相似文献
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B. Cascales 《Journal of Mathematical Analysis and Applications》2003,282(2):826-845
The aim of this paper is to report in a short and self-contained way on the properties of compactoid and countably compactoid filters. We apply them to some questions in both topology and analysis such as the generation and extension of USCO maps, the study of some properties of K-analytic spaces and the study of bounds for the weight of compact sets in spaces obtained through inductive operations. 相似文献
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Sophocles Mercourakis 《Monatshefte für Mathematik》1996,121(1-2):79-111
Two topics are investigated: countably determined (regular Borel probability) measures on compact Hausdorff spaces, and uniform distribution of sequences regarding mainly this kind of measures. We prove several characterizations of countably determined measures, and apply the results in order to show the existence of a well distributed sequence in the support of a countably determined measure. We also generalize a result of Losert on the existence of uniformly distributed sequences in compact dyadic spaces. 相似文献
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We investigate the relations between decreasing sequences of sets and the insertion of semi-continuous functions, and give some characterizations of countably metacompact spaces, countably paracompact spaces, monotonically countably paracompact spaces (MCP), monotonically countably metacompact spaces (MCM), perfectly normal spaces and stratifiable spaces. 相似文献
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Kyriakos Kermedis 《Mathematical Logic Quarterly》2003,49(4):369-374
We show that the statement (K12) “separable, countably compact, regular spaces are Baire” is deducible from a strictly weaker form than AC, namely, CAC(?) (the axiom of choice for countable families of non‐empty subsets of the real line ?). We also find some characterizations of the axiom of dependent choices. 相似文献