Results 11 to 20 of about 153,518 (247)
LIPSCHITZ SPACES AND BOUNDED MEAN OSCILLATION OF HARMONIC MAPPINGS [PDF]
Bulletin of the Australian Mathematical Society, 2013 AbstractWe first study the bounded mean oscillation of planar harmonic mappings. Then we establish a relationship between Lipschitz-type spaces and equivalent modulus of real harmonic mappings. Finally, we obtain sharp estimates on the Lipschitz number of planar harmonic mappings in terms of the bounded mean oscillation norm, which shows that the ...
S-H Chen +3 more
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Bounded Mean Oscillation and the Uniqueness of Active Scalar Equations [PDF]
Transactions of the American Mathematical Society, 2011 We consider a number of uniqueness questions for several wide classes of active scalar equations, unifying and generalizing the techniques of several authors. As special cases of our results, we provide a significantly simplified proof to the known uniqueness result for the 2D Euler equations in L 1 ∩
Jonas Azzam, Jacob Bedrossian
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Characterizations of Bounded Mean Oscillation [PDF]
Proceedings of the American Mathematical Society, 1975 Recall that an integrable function f f on a cube Q 0 {Q_0} in R n {{\mathbf {R}}^n} is said to be of bounded mean oscillation if there is a constant K K such that for
Stephen Jay Berman
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Bounded mean oscillation and regulated martingales [PDF]
Transactions of the American Mathematical Society, 1974 In the martingale context, the dual Banach space to H 1 {H_1} is BMO in analogy with the result of Charles Fefferman [4] for the classical case. This theorem is an easy consequence of decomposition theorems for H 1 {H_1} -martingales which involve
Carl Herz
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Random series and bounded mean oscillation. [PDF]
Michigan Mathematical Journal, 1985 It has long been known that if \(\sum | a_ n ...
Peter Duren
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Mean Lipschitz spaces and bounded mean oscillation [PDF]
Illinois Journal of Mathematics, 1997 Assume that \(f(z)\) is analytic in the unit disk and has a non-tangential limit \(f(e^{i\theta})\) at a.e. point of the unit circle. The integral modulus of continuity of order \(p\), \(1\leq p < +\infty\), of the boundary function \(f(e^{i\theta})\) is \(\omega (\delta , f) = \sup_ ...
Daniel Girela
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Pointwise multipliers for functions of bounded mean oscillation [PDF]
Journal of the Mathematical Society of Japan, 1985 We characterize the set of pointwise multipliers on bmo\({}_{\phi}({\mathbb{R}}^ n)\), which generalizes the corresponding theorem by \textit{S. Janson} in the torus case [Ark. Mat. 14, 189-196 (1976; Zbl 0341.43005)]. To be more precise, let \(\phi\) (r) be a nondecreasing concave function on the positive real line, and \[ w(x,r)=\phi (r)/(|\int^{1}_ ...
Eiichi Nakai, Kôzô Yabuta
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Vector valued measures of bounded mean oscillation [PDF]
Publicacions Matemàtiques, 1991 The author considers the \(H^ 1\)-BMO duality for vector-valued functions in the more general setting of spaces of homogeneous type. A space of homogeneous type \(\Omega\) is a topological space endowed with a Borel measure \(m\) defined on the Borel subsets \(\Sigma\) of \(\Omega\) and a quasi-distance \(d\) such that the open balls centered at \(x ...
Blasco de la Cruz, Oscar
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Bounded mean oscillation with Orlicz norms and duality of Hardy spaces [PDF]
Bulletin of the American Mathematical Society, 1976 then it is still true that ƒ E BMO and (1) holds with A < CA'. In fact, a proof similar to that of [2] shows that (1)' implies (2). If the constant 1/2 in (1)' is replaced by a larger number, the result is no longer true.
Jan-Olov Strömberg
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Characterisations for analytic functions of bounded mean oscillation [PDF]
Bulletin of the Australian Mathematical Society, 1992 Let α > 0 and let f[α](z) be the αth fractional derivative of an analytic function f on the unit disc D. In this paper we show that f ∈ BMOA if and only if |f[α](z)|2 (l - |z|2)2α−1dA(z) is a Carleson measure and f ∈ VMOA if and only if |f[α](z)|2 (1 − |z|2)2α−1dA(z) is a vanishing Carleson measure, where A denotes the normalised Lebesgue measure on
Jie Miao
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