Results 21 to 30 of about 5,835,731 (257)
Commutators of the maximal and sharp functions with weighted Lipschitz functions
, 2023 Let $M$ be the Hardy-Littlewood maximal function. Denote by $M_b$ and $[b,M]$ the maximal and the nonlinear commutators of $M$ with a function $b$. The boundedness of $M_b$ and $[b,M]$ on weighted Lebesgue spaces are characterized when the symbols $b$ belong to weighted Lipschitz (weighted Morrey-Campanato) spaces.
Zhang, Pu, Zhu, Xiaomeng
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Journal of Approximation Theory, 1985 The authors consider in detail the propserties of the local maximal function introduced by F.
Jawerth, B, Torchinsky, A
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A sharp estimate for the Hardy-Littlewood maximal function [PDF]
Studia Mathematica, 1999 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. A positive function on the line is called ``peak-shaped'' if it is positive and convex except at one point. The techniques we use include convexity and an adaptation of the standard Euler-
Grafakos, Loukas +2 more
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Sharp estimates for the nontangential maximal function and the Lusin area function in Lipschitz domains [PDF]
Transactions of the American Mathematical Society, 1989 Let u u be a harmonic function on a domain of the form
Bañuelos, Rodrigo, Moore, Charles N.
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W2,p a priori estimates for nonvariational operators: the sharp maximal function technique
Bruno Pini Mathematical Analysis Seminar, 2018 We consider a nonvariational degenerate elliptic operator, structured on a system of left invariant, 1-homogeneous, Hörmander vector fields on a Carnot group, where the coefficient matrix is symmetric, uniformly positive on a bounded domain and the ...
Marco Bramanti
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SHARP INEQUALITIES FOR THE VARIATION OF THE DISCRETE MAXIMAL FUNCTION [PDF]
Bulletin of the Australian Mathematical Society, 2016 In this paper we establish new optimal bounds for the derivative of some discrete maximal functions, in both the centred and uncentred versions. In particular, we solve a question originally posed by Bober et al. [‘On a discrete version of Tanaka’s theorem for maximal functions’, Proc. Amer. Math. Soc.140 (2012), 1669–1680].
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Sharp Weighted Bounds for Multilinear Maximal Functions and Calderón–Zygmund Operators [PDF]
Journal of Fourier Analysis and Applications, 2014 In this paper we prove some sharp weighted norm inequalities for the multi(sub)linear maximal function $\Mm$ introduced in \cite{LOPTT} and for multilinear Calderón-Zygmund operators. In particular we obtain a sharp mixed "$A_p-A_{\infty}$" bound for $\Mm$, some partial results related to a Buckley-type estimate for $\Mm$, and a sufficient condition ...
Damián González, Wendolín +2 more
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Weighted Estimates for Maximal Commutators of Multilinear Singular Integrals
Journal of Function Spaces and Applications, 2012 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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Maximal 2-rainbow domination number of a graph
AKCE International Journal of Graphs and Combinatorics, 2016 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
Karpatsʹkì Matematičnì Publìkacìï, 2020 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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