Results 31 to 40 of about 70,314 (307)
Dual of Modulation Spaces with Variable Smoothness and Integrability
Journal of Function Spaces, 2022 In this article, we first give a proof for the denseness of the Schwartz class in the modulation spaces with variable smoothness and integrability. Then, we study the dual spaces of such modulation spaces.
Hua Zhu
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Patching DFT, T-duality and gerbes
Journal of High Energy Physics, 2017 We clarify the role of the dual coordinates as described from the perspectives of the Buscher T-duality rules and Double Field Theory. We show that the T-duality angular dual coordinates cannot be identified with Double Field Theory dual coordinates in ...
P.S. Howe, G. Papadopoulos
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Journal of Function Spaces, 2022 In order to reconstruct elements from the range of a linear bounded operator K on a separable Banach space, concepts of K-frames and K∗-atomic systems for Banach spaces are introduced, the relationship between the two is discussed, and the sufficient ...
Baoguang Sun, Chunyan Li
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International Journal of Mathematics and Mathematical Sciences, 2001 The paper aims to develop for sequence spaces E a general concept for reconciling certain results, for example inclusion theorems, concerning generalizations of the Köthe-Toeplitz duals E×(×∈{α,β}) combined with dualities (E,G),G⊂E×, and the SAK-property
Johann Boos, Toivo Leiger
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Characterizations of the dilation of frame generator dual pairs for group
Journal of Inequalities and Applications, 2019 In this paper, we are interested in the dilation problem on frame generator dual pairs for a unitary representation in Hilbert spaces. We show the existence of a Riesz generator dilation dual pair of a frame generator dual pair in Hilbert spaces. Then we
Liang Li, Pengtong Li
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Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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Weighted Central BMO Spaces and Their Applications
Journal of Function Spaces, 2021 In this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces.
Huan Zhao, Zongguang Liu
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FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
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Publications of the Research Institute for Mathematical Sciences, 1976 This paper is a supplement to the author's paper [6]. Here we shall discuss the space Bpi00_($), a closed subspace of JB£>JO(,G), and determine the dual of Besov spaces ££ig(J2) . For a measure space (M, /*) and a Banach space X by L (M, p. ; X) we denote the space of all X-valued strongly measurable functions f(x) such that \f(x)lx 0 and as |y|-»oo ...
openaire +3 more sources
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS Letters, EarlyView.Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
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