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We study a two-level system controlled in a discrete feedback loop, modeling both the system and the controller in terms of stochastic Markov processes.
Jaegon Um +3 more
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The sharp maximal function approach to $$L^{p}$$ L p estimates for operators structured on Hörmander’s vector fields [PDF]
We consider a nonvariational degenerate elliptic operator structured on a system of left invariant, 1-homogeneous, H\"ormander's vector fields on a Carnot group in $R^{n}$, where the matrix of coefficients is symmetric, uniformly positive on a bounded ...
Marco Bramanti, Marisa Toschi
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A sharp estimate for the Hardy-Littlewood maximal function [PDF]
The best constant in the usual Lp norm inequality for the centered Hardy-Littlewood maximal function on R1 is obtained for the class of all ``peak-shaped'' functions.
Loukas Grafakos +2 more
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On the boundedness of parabolic maximal operators on product domains
In this article, appropriate sharp Lp bounds for a certain class of rough maximal operators MΩ,γ with mixed homogeneity are established. Specifically, when the function Ω belongs to Lq(Sm−1×Sn−1) with m,n≥2 and q>1, the boundedness of the such operators ...
Mohammed Ali
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The multilinear strong maximal function [PDF]
A multivariable version of the strong maximal function is introduced and a sharp distributional estimate for this operator in the spirit of the Jessen, Marcinkiewicz, and Zygmund theorem is obtained.
Grafakos, Loukas +3 more
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Weighted Estimates for Maximal Commutators of Multilinear Singular Integrals
This paper is concerned with the pointwise estimates for the sharp function of the maximal multilinear commutators TΣb* and maximal iterated commutator TΠb*, generalized by m-linear operator T and a weighted Lipschitz function b.
Dongxiang Chen, Suzhen Mao
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On weak type inequalities for dyadic maximal functions [PDF]
We obtain sharp estimates for the localized distribution function of the dyadic maximal function Mϕd, given the local L1 norms of ϕ and of G○ϕ where G is a convex increasing function such that G(x)/x→+∞ as x→+∞.
Melas, Antonios D. +1 more
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Maximal 2-rainbow domination number of a graph
A 2-rainbow dominating function (2RDF) of a graph G is a function f from the vertex set V(G) to the set of all subsets of the set {1,2} such that for any vertex v∈V(G) with f(v)=0̸ the condition ⋃u∈N(v)f(u)={1,2} is fulfilled, where N(v) is the open ...
H. Abdollahzadeh Ahangar +3 more
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Growth estimates for the maximal term and central exponent of the derivative of a Dirichlet series
Let $A\in(-\infty,+\infty]$, $\Phi:[a,A)\to\mathbb{R}$ be a continuous function such that $x\sigma-\Phi(\sigma)\to-\infty$ as $\sigma\uparrow A$ for every $x\in\mathbb{R}$, $\widetilde{\Phi}(x)=\max\{x\sigma -\Phi(\sigma):\sigma\in [a,A)\}$ be the Young ...
S.I. Fedynyak, P.V. Filevych
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Rib Fracture Fixation, a new Era in Treatment of Chest Trauma in Albania
Rib fractures are a consequence of the forces of various arthritis that the chest wall and the thoracic cage itself undergo, and are most often due to closed injuries (eg, motor vehicle collision, falls from height, and Hits with strong objects ..), but ...
Fatmir ÇAUSHI
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