Results 101 to 110 of about 70,693 (320)
On Endomorphism Universality of Sparse Graph Classes
ABSTRACT We show that every commutative idempotent monoid (a.k.a. lattice) is the endomorphism monoid of a subcubic graph. This solves a problem of Babai and Pultr and the degree bound is best‐possible. On the other hand, we show that no class excluding a minor can have all commutative idempotent monoids among its endomorphism monoids. As a by‐product,
Kolja Knauer, Gil Puig i Surroca
wiley +1 more source
In this paper, we prove the $M^k$-type sharp maximal function estimates for the commutators related to some singular integral operators satisfying a variant of Hörmander's condition.
Liu Lanzheliu
doaj +1 more source
Regularity for commutators of the local multilinear fractional maximal operators
In this paper we introduce and study the commutators of the local multilinear fractional maximal operators and a vector-valued function b⃗ = (b1, …, bm). Under the condition that each bi belongs to the first order Sobolev spaces, the bounds for the above
Zhang Xiao, Liu Feng
doaj +1 more source
Necessary conditions for the boundedness of linear and bilinear commutators on Banach function spaces [PDF]
In this article we extend recent results by the first author on the necessity of $BMO$ for the boundedness of commutators on the classical Lebesgue spaces. We generalize these results to a large class of Banach function spaces.
Lucas Chaffee, D. Cruz-Uribe
semanticscholar +1 more source
A Dichotomy Theorem for Γ ${\rm{\Gamma }}$‐Switchable H $H$‐Colouring on m $m$‐Edge‐Coloured Graphs
ABSTRACT Let G $G$ be a graph in which each edge is assigned one of the colours 1,2,…,m $1,2,\ldots ,m$, and let Γ ${\rm{\Gamma }}$ be a subgroup of Sm ${S}_{m}$. The operation of switching at a vertex x $x$ of G $G$ with respect to an element π $\pi $ of Γ ${\rm{\Gamma }}$ permutes the colours of the edges incident with x $x$ according to π $\pi $. We
Richard Brewster+2 more
wiley +1 more source
Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker–Smale models [PDF]
This paper deals with the derivation and analysis of a compressible Euler-type equation with singular commutator, which is derived from a hyperbolic limit of the kinetic description to the Cucker–Smale model of interacting individuals.
David Poyato, J. Soler
semanticscholar +1 more source
Multiparameter Riesz Commutators
It is shown that product BMO of Chang and Fefferman, defined on the product of Euclidean spaces can be characterized by the multiparameter commutators of Riesz transforms. This extends a classical one-parameter result of Coifman, Rochberg, and Weiss, and
Brett+4 more
core +3 more sources
On commutativity and approximation
AbstractThe action of commutativity and approximation is analyzed for some problems in Computational Complexity. Lower bound criteria to the approximate complexity are given in terms of border rank and commulative border rank of a given tensor. Upper bounds for the approximate complexity of the matrix-vector product are given.
openaire +3 more sources
Combs, Fast and Slow: Non‐Adiabatic Mean‐Field Theory of Active Cavities
A unified mean‐field theory is developed that describes active cavities with dynamics of any speed, whether they be fast, slow, or anything in between. By creating an operator‐based framework that makes no adiabatic approximation, this approach delivers more efficient simulations and new analytical insights for a wide range of integrated combs, such as
David Burghoff
wiley +1 more source
A general formula for the Magnus expansion in terms of iterated integrals of right-nested commutators [PDF]
We present a general expression for any term of the Magnus series as an iterated integral of a linear combination of independent right-nested commutators with given coefficients.
Ana Arnal, F. Casas, Cristina Chiralt
semanticscholar +1 more source