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The quotient shapes of lp and Lp spaces
All lp spaces (over the same field), p ≠ ∞, have the finite quotient shape type of the Hilbert space l2. It is also the finite quotient shape type of all the subspaces lp(p'), p < p' ≤ ∞, as well as of all their direct sum subspaces F0N(p'), 1 ≤ p' ≤ ∞. Furthermore, their countable and finite quotient shape types coincide.
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Estimates for Parameter Littlewood-Paley gκ⁎ Functions on Nonhomogeneous Metric Measure Spaces
Let (X,d,μ) be a metric measure space which satisfies the geometrically doubling measure and the upper doubling measure conditions. In this paper, the authors prove that, under the assumption that the kernel of Mκ⁎ satisfies a certain Hörmander-type ...
Guanghui Lu, Shuangping Tao
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Feasibility of using an led-probe in third-space endoscopy: a clinical study
Background Third-space endoscopy is a novel, safe, and effective method for treating different gastrointestinal conditions. However, several failed endoscopic procedures are attributed to incomplete myotomy.
Oscar Víctor Hernández Mondragón+4 more
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Scientific Missions and Technologies of the ISSS on board the NEXTSat-1 [PDF]
A package of space science instruments, dubbed the Instruments for the Study of Space Storms (ISSS), is proposed for the Next Generation Small Satellite-1 (NEXTSat-1), which is scheduled for launch in May 2016.
Cheong Rim Choi+10 more
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Multiresolution analysis plays a major role in wavelet theory. In this paper, the author studies multiresolution of \(L_ p\) spaces. Let \(S\) be a shift-invariant subspace of \(L_ p(\mathbb{R}^ s)\) \((1\leq p\leq \infty)\) generated by a finite number of functions with compact support, and let \(S_ k\) be the \(2^ k\)-dilate of \(S\) for each integer
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Kernel-Induced Label Propagation by Mapping for Semi-Supervised Classification
Kernel methods have been successfully applied to the areas of pattern recognition and data mining. In this paper, we mainly discuss the issue of propagating labels in kernel space.
Jia, Lei+5 more
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New characterizations of some Lp-spaces
For a complete measure space (X,∑,μ), we give conditions which force Lp(X,μ), for 1 ...
Russell S. Jenkins, Ramesh V. Garimella
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Rosenthal's theorem for subspaces of noncommutative Lp [PDF]
We show that a reflexive subspace of the predual of a von Neumann algebra embeds into a noncommutative Lp space for some p>1. This is a noncommutative version of Rosenthal's result for commutative Lp spaces.
Junge, Marius, Parcet, Javier
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Exposure to common noxious agents (1), including allergens, pollutants, and micro‐nanoplastics, can cause epithelial barrier damage (2) in our body's protective linings. This may trigger an immune response to our microbiome (3). The epithelial barrier theory explains how this process can lead to chronic noncommunicable diseases (4) affecting organs ...
Can Zeyneloglu+17 more
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A Rare Case of Non-resolving Pneumonia: Lipoid Pneumonia
Lipoid pneumonia (LP) is defined as the sum of clinical and radiological abnormalities due to aspiration of oil based foreign materials. There are two kinds of LP defined in the literature.
Bilge Yılmaz Kara+4 more
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