Results 31 to 40 of about 495,262 (315)
A Note on Boundedness of Singular Integral Operators on Function Spaces over Local Fields [PDF]
arXiv, 2022 In this article we consider the classical singular integral operator over a local field with rough kernels. We study the boundedness of such an operator on different function spaces by relaxing the smoothness condition on kernels.
arxiv
A singular integral of the composite operator
Applied Mathematics Letters, 2009 We establish the Poincare-type inequalities for the composition of the homotopy operator and the projection operator. We also obtain some estimates for the integral of the composite operator with a singular density.
Shusen Ding, Bing Liu
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Localization of singular integral operators
Mathematische Zeitschrift, 1979 This work is a continuation of the paper [1]. Recently, in an attempt to give further meaning to several local theories for one dimensional singular integral operators, the authors defined a general concept of local factorization of matrix functions on a contour F in the complex plane.
Clancey, Kevin, Gohberg, Israel
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Weighted Endpoint Estimates for Commutators of Singular Integral Operators on Orlicz-Morrey Spaces
Journal of Function Spaces, 2019 In this paper, we obtain the weighted endpoint estimates for the commutators of the singular integral operators with the BMO functions and the associated maximal operators on Orlicz-Morrey Spaces.
Jinyun Qi, Hongxia Shi, Wenming Li
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On Weighted Hadamard-Type Singular Integrals and Their Applications
Abstract and Applied Analysis, 2007 By means of an expression with a kind of integral operators, some properties of the weighted Hadamard-type singular integrals are revealed. As applications, the solution for certain strongly singular integral equations is discussed and illustrated.
Yong Jia Xu
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The power of microRNA regulation—insights into immunity and metabolism
FEBS Letters, EarlyView.MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto +2 more
wiley +1 more source
Molecular Oncology, EarlyView.Consensus molecular subtypes (CMS1‐4) have been identified to study colorectal cancer heterogeneity and serve as potential biomarkers. In this study, we developed and evaluated NanoCMSer, a NanoString‐based classifier using 55 genes, optimized for FF and FFPE to facilitate the clinical evaluation of CMS subtyping.
Arezo Torang +10 more
wiley +1 more source
Φ-Admissible Sublinear Singular Operators and Generalized Orlicz-Morrey Spaces
Journal of Function Spaces, 2014 We study the boundedness of Φ-admissible sublinear singular operators on Orlicz-Morrey spaces MΦ,φℝn. These conditions are satisfied by most of the operators in harmonic analysis, such as the Hardy-Littlewood maximal operator and Calderón-Zygmund ...
Javanshir J. Hasanov
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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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Variable Anisotropic Singular Integral Operators
Constructive Approximation, 2023 We introduce the class of variable anisotropic singular integral operators associated to a continuous multi-level ellipsoid cover $ $ of $\mathbb{R}^n$ introduced by Dahmen, Dekel, and Petrushev \cite{ddp}. This is an extension of the classical isotropic singular integral operators on $\mathbb{R}^n$ of arbitrary smoothness and their anisotropic ...
Bownik, Marcin, Li, Baode, Li, Jinxia
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