Results 61 to 70 of about 242,721 (361)
Weakly Canceling Operators and Singular Integrals [PDF]
Proceedings of the Steklov Institute of Mathematics, 2021 12 ...
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Rethinking plastic waste: innovations in enzymatic breakdown of oil‐based polyesters and bioplastics
FEBS Open Bio, EarlyView.Plastic pollution remains a critical environmental challenge, and current mechanical and chemical recycling methods are insufficient to achieve a fully circular economy. This review highlights recent breakthroughs in the enzymatic depolymerization of both oil‐derived polyesters and bioplastics, including high‐throughput protein engineering, de novo ...
Elena Rosini +2 more
wiley +1 more source
A boundedness result for Marcinkiewicz integral operator
Open Mathematics, 2020 We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.
Hawawsheh Laith, Abudayah Mohammad
doaj +1 more source
On the spectral theory of singular integral operators [PDF]
Transactions of the American Mathematical Society, 1963 A complete spectral representation is given for a class of singular integral operators. The influence of spectral multiplicity is partially taken into account. (T.F.H.)
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$L^2$-oundedness of a singular integral operator [PDF]
Publicacions Matemàtiques, 1997 In this article the authors study singular integral operators with rough kernels, which have a singularity along sets \(\{x=Q(| y|)y'\}\), where \(y'=y/| y| \) and \(Q\) is a polynomial of degree \(m\), and they obtain \(L^2\) bounds. More precisely, the operators they considered here are \[ T_{Q,b}(f)(x)=\int_{{\mathbb R}^{n}}K(y)f(x-Q(| y|)y')dy ...
Fan, D., Pan, Yibiao
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Olfactory dysfunction is frequently observed in patients with multiple sclerosis (MS); however, its underlying mechanisms remain poorly understood. To date, no studies have directly examined the nasal mucosal microbiota in MS. This study aimed to explore potential relationships among olfactory function, nasal microbiota composition,
Zidan Gao +5 more
wiley +1 more source
On a Local Mean Oscillation Decomposition [PDF]
, 2012 In this note we generate two local median oscillation decompositions of an arbitrary measurable function and discuss some applications to Calder\'{o}n-Zygmund singular integral operators $T$. These applications rely on the inequality $M^{\sharp}_{0,s}(Tf)
Poelhuis, Jonathan, Torchinsky, Alberto
core
Algebraic Properties of Cauchy Singular Integral Operators on the Unit Circle
, 2016 In this paper we study algebraic properties of singular integral operators with Cauchy kernel on the $L^{2}$ space of the unit circle. We give an operator equation characterization for this class of Cauchy singular integral operators.
Caixing Gu
semanticscholar +1 more source
A Spatially Resolved View on the Aging Substantia nigra: An Exploratory Proteomic Study
Advanced Biology, EarlyView.Although aging is the most important risk factor for several neurodegenerative diseases, the molecular effects of physiological aging are still understudied. By applying spatially‐resolved proteomic analyses of the human substantia nigra pars compacta, alterations in vesicular trafficking and mitochondrial proteins are observed, as well as reduced ...
Britta Eggers +10 more
wiley +1 more source
, 2018 We present an effective harmonic density interpolation method for the numerical evaluation of singular and nearly singular Laplace boundary integral operators and layer potentials in two and three spatial dimensions. The method relies on the use of Green'
Faria, Luiz M. +2 more
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