Search Results - "Slavin, Leonid"

Best constants for a family of Carleson sequences by Slavin, Leonid

“…We consider a general family of Carleson sequences associated with dyadic A2 weights and find sharp — or, in one case, simply best known — upper and lower…”
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Monotone rearrangement in averaging classes by Abdrakhmanov, Marat, Slavin, Leonid, Zatitskii, Pavel

“…We consider a general collection of function classes on the interval [ 0 , 1 ] [0,1] defined in terms of certain averages and show that monotone rearrangement…”
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Sharp L^p estimates on BMO by Slavin, Leonid, Vasyunin, Vasily

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Inequalities for BMO on α-Trees by Slavin, Leonid, Vasyunin, Vasily

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Sharp LpEstimates on BMO by Slavin, Leonid, Vasyunin, Vasily

“…We construct the upper and lower Bellman functions for the Lp (quasi)-norms of BMO functions. These appear as solutions to a series of Monge–Ampère boundary…”
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Monotone rearrangement does not increase generalized Campanato norm in VMO by Slavin, Leonid, Zatitskii, Pavel

“…We consider a quantitative version of the space VMO on an interval, equipped with a quadratic Campanato-type norm, and prove that monotone rearrangement does…”
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NEW ESTIMATES FOR THE BEURLING–AHLFORS OPERATOR ON DIFFERENTIAL FORMS by PETERMICHL, STEFANIE, SLAVIN, LEONID, WICK, BRETT D.

“…We establish new Lp estimates for the norm of the generalized Beurling–Ahlfors transform 𝒮 acting on form-valued functions. Namely, we prove that ${\Vert…”
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Monotone rearrangement in averaging classes by Abdrakhmanov, Marat, Slavin, Leonid, Zatitskii, Pavel

“…We consider a general collection of function classes on the interval $[0,1]$ defined in terms of certain averages and show that monotone rearrangement does not…”
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Anisotropic conduction block and reentry in neonatal rat ventricular myocyte monolayers by de Diego, Carlos, Chen, Fuhua, Xie, Yuanfang, Pai, Rakesh K, Slavin, Leonid, Parker, John, Lamp, Scott T, Qu, Zhilin, Weiss, James N, Valderrábano, Miguel

“…Anisotropy can lead to unidirectional conduction block that initiates reentry. We analyzed the mechanisms in patterned anisotropic neonatal rat ventricular…”
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Dimension-free estimates for semigroup BMO and $A_p by Slavin, Leonid, Zatitskii, Pavel

“…Let $K_t$ be either the heat or the Poisson kernel on $\mathbb{R}^n.$ Let $\mathcal{A}$ stand either for BMO equipped with the quadratic seminorm or for $A_p,$…”
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The John--Nirenberg constant of ${\rm BMO}^p,$ $1\le p\le 2 by Slavin, Leonid

“…We compute the exact John--Nirenberg constant of ${\rm BMO}^p((0,1))$ for $1\le p\le 2,$ which has been known only for $p=1$ and $p=2.$ We also show that this…”
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Best constants for a family of Carleson sequences by Slavin, Leonid

“…We consider a general family of Carleson sequences associated with dyadic $A_2$ weights and find sharp -- or, in one case, simply best known -- upper and lower…”
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The ${\rm BMO}\to{\rm BLO}$ action of the maximal operator on $\alpha$-trees by Osȩkowski, Adam, Slavin, Leonid, Vasyunin, Vasily

“…We obtain the explicit upper Bellman function for the natural dyadic maximal operator acting from ${\rm BMO}(\mathbb{R}^n)$ into ${\rm BLO}(\mathbb{R}^n).$ As…”
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The John--Nirenberg constant of ${\rm BMO}^p$, $p>2 by Slavin, Leonid, Vasyunin, Vasily

“…This paper is a continuation of earlier work by the first author who determined the John--Nirenberg constant of ${\rm BMO}^p\big((0,1)\big)$ for the range…”
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Cincinnati lectures on Bellman functions by Slavin, Leonid, Vasyunin, Vasily

“…In January-March 2011, the Department of Mathematical Science at the University of Cincinnati held a Taft Research Seminar "Bellman function method in harmonic…”
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Inequalities for BMO on $\alpha$-trees by Slavin, Leonid, Vasyunin, Vasily

“…We develop technical tools that enable the use of Bellman functions for BMO defined on $\alpha$-trees, which are structures that generalize dyadic lattices. As…”
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Bellman function and BMO by Slavin, Leonid

“…The Bellman function method is applied to three different problems in harmonic analysis. The first, introductory chapter outlines the specifics of the method,…”
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Bellman function and BMO by Slavin, Leonid

“…The Bellman function method is applied to three different problems in harmonic analysis. The first, introductory chapter outlines the specifics of the method,…”
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Sharp L^p estimates on BMO by Slavin, Leonid, Vasyunin, Vasily

“…We construct the upper and lower Bellman functions for the $L^p$ (quasi)-norms of BMO functions. These appear as solutions to a series of Monge--Amp\`ere…”
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Bellman Function and the $H^1-BMO$ Duality by Slavin, Leonid, Volberg, Alexander

“…Contemporary Math, 428, AMS, 2007 A Bellman function approach to Fefferman's $H^1-BMO$ duality theorem is presented. One Bellman-type argument is used to…”
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