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A New Extension of Hilbert-type Integral Inequality with Two Pairs of Conjugate Exponents
mathematical analysis Hilbert's type integral inequality conjugate exponent Holder inequality equivalent form
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2011/9/29
In the paper, by introducing two pairs of conjugate exponents(p，q) and (r，s), we establish a new generalizations of the Hilbert-type ineqaulity with a best constant. As application, the reverse and it...
Extending maps by injective $σ$-$Z$-maps in Hilbert manifolds
infinite-dimensional manifolds Z-zets embeddings limitation topology
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2011/8/29
Abstract: The aim of the paper is to prove that if $M$ is a metrizable manifold modelled on a Hilbert space of dimension $\alpha \geq \aleph_0$ and $F$ is its $\sigma$-$Z$-set, then for every complete...
Functor of continuation in Hilbert cube and Hilbert space
Hilbert cube Hilbert space Functor of continuation General Topology
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2011/8/29
Abstract: A $Z$-set in a metric space $X$ is a closed subset $K$ of $X$ such that each map of the Hilbert cube $Q$ into $X$ can uniformly be approximated by maps of $Q$ into $X \setminus K$. The aim o...
关于强拓扑对偶多重Hilbert空间上连续线性算子的$(C_0,1)$-发展系
半群 生成元 摄动
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2007/12/10
本文证明：若强对偶多重Ｈｉｌｂｅｒｔ空间上的$(C_0,1)$-半群族的无穷小生成算子族是$\Gamma$-稳定的，则该半群族生成$\Gamma$-稳定的发展系．基于此，本文还得出了关于$(C_0,1)$-发展系的一个摄动定理．