Results 51 to 60 of about 6,676 (204)
Journal of Function Spaces and Applications, 2013 This note concerns multiple weighted inequalities for vector-valued multilinear singular integral operator with nonsmooth kernel and its corresponding commutators containing multilinear commutator and iterated commutator generated by the vector-valued ...
Dongxiang Chen, Dan Zou, Suzhen Mao
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Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
Advanced Electronic Materials, EarlyView.The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
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On commutativity and approximation
Theoretical Computer Science, 1983 The paper deals with lower and upper bounds on the algebraic complexity of bilinear forms based on the rank of the corresponding tensors. It defines the ''commutative border rank'' (cbrk) of a tensor, which is a modification of the definition of ''rank'' so that it can be applied to algorithms that a) only need to approximate the solution and b) make ...
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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On commuting and semi-commuting positive operators [PDF]
Proceedings of the American Mathematical Society, 2014 Let K K be a positive compact operator on a Banach lattice. We prove that if either
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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k-quasi-homogeneous Toeplitz operators on pluriharmonic Bergman space of the unit ball
四川大学学报. 自然科学版, 2019 In this paper, we study some basic properties of k-quasi-homogeneous Toeplitz operators on the pluriharmonic Bergman space of the unit ball, and obtain the symmetric properties of the commutator and semi-commutator consisting of two such operators.
DAI Xin, DONG Xing-Tang, ZHANG Ying-Ying
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Journal of Function Spaces, 2017 We give sufficient conditions for subsets to be precompact sets in variable Morrey spaces. Then we obtain the boundedness of the commutator generated by a singular integral operator and a BMO function on the variable Morrey spaces.
Wei Wang, Jingshi Xu
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The Notions of Center, Commutator and Inner Isomorphism for Groupoids
Ingeniería y Ciencia, 2020 In this paper we introduce some algebraic properties of subgroupoids and normal subgroupoids. we define other things, we define the normalizer of a wide subgroupoid H of a groupoid G and show that, as in the case of groups, this normalizer is the ...
Jesús Ávila, Víctor Marín
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