Results 21 to 30 of about 34,241 (243)
Intersubject information mapping: revealing canonical representations of complex natural stimuli
ScienceOpen Research, 2015 Real-world time-continuous stimuli such as video promise greater naturalism for studies of brain function. However, modeling the stimulus variation is challenging and introduces a bias in favor of particular descriptive dimensions.
Nikolaus Kriegeskorte
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Operators preserving disjointness on rearrangement invariant spaces [PDF]
Pacific Journal of Mathematics, 1991 Let X and Y be two rearrangement invariant spaces on a measure space (\(\Omega\),\(\Sigma\),\(\mu)\) with a finite, nonatomic measure \(\mu\). We show that if there exists a non-zero order continuous disjointness preserving operator T:X\(\to Y\), then \(X\subseteq Y\).
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Duality problem for disjointly homogeneous rearrangement invariant spaces
, 2019 Let $1\le ...
Astashkin, Sergey V.
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The Rearrangement-Invariant space $��_{p,��}$
, 2012 Fix $b\in (0,\infty)$ and $p\in (1,\infty)$. Let $ $ be a positive measurable function on $I_b:=(0,b)$. Define the Lorentz Gamma norm, $\r_{p, }$, at the measurable function $f:\R+\to\R+$ by $\rph(f):=[\int_0^bf^{**}(t)^p (t)dt]^{\frac1p}$, in which $f^{**}(t):=t^{-1}\int_0^tf^{*}(s)ds$, where $f^*(t):= _f^{-1}(t)$, with $ _f(s):=|\{x\in I_b: |f(x)
Gogatishvili, Amiran, Kerman, Ron
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Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
FEBS Letters, EarlyView.A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa +5 more
wiley +1 more source
Lacunary Walsh series in rearrangement invariant spaces [PDF]
Indagationes Mathematicae, 2019 We prove that the classical results by Rodin and Semenov and by Lindenstrauss and Tzafriri on the subspace generated by the Rademacher system in rearrangement invariant spaces also hold for lacunary Walsh series.
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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
wiley +1 more source
FEBS Letters, EarlyView.This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel +13 more
wiley +1 more source
Optimal domain for the Hardy operator [PDF]
, 2007 We study the optimal domain for the Hardy operator considered with values in a rearrangement invariant space. In particular, this domain can be represented as the space of integrable functions with respect to a vector measure defined on a δ-ring.
Delgado Garrido, Olvido +1 more
core
The Fourier Transform on Rearrangement-Invariant Spaces
Journal of Fourier Analysis and ApplicationsWe study inequalities of the form \begin{equation*} ρ( \lvert \hat{f} \rvert) \leq C σ(f) < \infty, \end{equation*} with $f \in L_{1}(\mathbb{R}^n)$, the Lebesgue-integrable functions on $\mathbb{R}^n$ and \begin{equation*} \hat{f}(ξ) := \int_{\mathbb{R}^n} f(x) \, e^{- 2 πi ξ\cdot x} dx, \ \ \ ξ\in \mathbb{R}^n.
Ron Kerman, Rama Rawat, Rajesh K. Singh
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