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Mostrando ítems 331-340 de 509
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On sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator between weighted Lp-spaces with different weights
(London Mathematical Society, 1995-07)
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Effective results on compositions of nonexpansive mappings
(Elsevier, 2014-02-15)
This paper provides uniform bounds on the asymptotic regularity for iterations associated to a finite family of nonexpansive mappings. We obtain our quantitative results in the setting of (r, δ)-convex spaces, a class ...
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Improving dimension estimates for Furstenberg-type sets
(Elsevier, 2010-01-30)
In this paper we study the problem of estimating the generalized Hausdorff dimension of Furstenberg sets in the plane. For α∈(0,1], a set F in the plane is said to be an α-Furstenberg set if for each direction e there is ...
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Borderline weighted estimates for commutators of singular integrals
(Springer, 2016)
In this paper we establish the following estimate w({x∈Rn:|[b,T]f(x)|>λ})≤cTε2∫RnΦ(∥b∥BMO|f(x)|λ)ML(logL)1+εw(x)dx where w≥0,0<ε<1 and Φ(t)=t(t+log+(t)). This inequality relies upon the following sharp Lp estimate ∥[b ...
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Qualitative and quantitative properties for the space ℓp,q
(University of Houston, 1996)
The space lp,q is simply the space lp but renormed by 1 Ixlp,q =(11x+llg + IIx-IIg);, ß E where II'[Ip is the usual lp norm and x + and x- are the positive and negative. parts of x, respectively. Bynum used lp,1 and Smith ...
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On some random thin sets of integers
(American Mathematical Society, 2008-01)
We show how different random thin sets of integers may have different behaviour. First, using a recent deviation inequality of Boucheron, Lugosi and Massart, we give a simpler proof of one of our results in Some new thin ...
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Distribution symmetry of toral eigenfunctions
(EMS Press, 2021-12-14)
In this paper we study a number of conjectures on the behavior of the value distribution of eigenfunctions. On the two dimensional torus, we observe that the symmetry conjecture holds in the strongest possible sense. On ...
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Extended eigenvalues for Cesàro operators
(Elsevier, 2015-09-15)
A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator T on a complex Banach space if there is a nonzero operator X such that T X = λXT. Such an operator X is called an extended eigenoperator ...
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The multilinear strong maximal function
(Springer, 2011-01)
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. Conditions that ...