Results 21 to 30 of about 14,061 (244)
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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Hadamard Multipliers and Abel Dual of Hardy Spaces
Journal of Function Spaces, 2016 The paper is devoted to the study of Hadamard multipliers of functions from the abstract Hardy classes generated by rearrangement invariant spaces. In particular the relation between the existence of such multiplier and the boundedness of the appropriate
Paweł Mleczko
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Weighted norm inequalities and indices
Journal of Function Spaces and Applications, 2006 We extend and simplify several classical results on weighted norm inequalities for classical operators acting on rearrangement invariant spaces using the theory of indices.
Joaquim Martín, Mario Milman
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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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Lebesgue's Differentiation Theorems in R.I. Quasi-Banach Spaces and Lorentz Spaces Γp,w
Journal of Function Spaces and Applications, 2012 The paper is devoted to investigation of new Lebesgue's type differentiation theorems (LDT) in rearrangement invariant (r.i.) quasi-Banach spaces E and in particular on Lorentz spaces Γp,w={f:∫(f ...
Maciej Ciesielski, Anna Kamińska
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, 2015 We extend to n-dimensions a characterization of the Marcinkiewicz $L(p,\infty)$ spaces first obtained by Garsia-Rodemich in the one dimensional case. This leads to a new proof of the John-Nirenberg self-improving inequalities.
Milman, Mario
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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