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Extension of functions with bounded mean oscillation
Journal of Mathematical Sciences, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruslan Shanin
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Bounded Mean Oscillation on the Polydisk
Annals of Mathematics, 1979The purpose of this article is to try to understand to what extent the duality between the Hardy space H1 of the unit disk, D, in the complex plane and the space BMO ([O, 2w]) extends to the polydisk. Before discussing the polydisk, let us recall some of the one variable results.
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On functions of bounded mean oscillation
Communications on Pure and Applied Mathematics, 1961F John, L Nirenberg
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Normal Trace for a Vector Field of Bounded Mean Oscillation
Potential Analysis, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yoshikazu Giga, Zhongyang Gu
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On functions of bounded mean oscillation with bounded negative part
Analysis Mathematica\textit{J. Bastero} et al. [Proc. Am. Math. Soc. 128, No. 11, 3329--3334 (2000; Zbl 0957.42010)] proved that the commutator \([b,M]\) between multiplication by \(b\) and application of the Hardy-Littlewood maximal function \(Mf(x)=\sup_{x\in Q} m_Q(\vert f\vert)(x)\) (where \((m_Q f)(x)=\frac{1}{\vert Q\vert}\int Q f\)) is bounded on \(L^p ...
Zhao, H., Wang, D.
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Bounded mean oscillation and the distribution of primes
Mathematical Proceedings of the Cambridge Philosophical Society, 1999Let \(E(x)\) denote either \((\psi(x)-x)/\sqrt{x}\) or \((\pi(x)-li(x))/(\sqrt{x}/ \log x), x \geq 2\). The author proves the following theorem: Let \(H=H(X)\) and \(\alpha(X)\) be two functions of the positive real variable X. We assume that \(\alpha(X)\) is arbitrary and \(H\) satisfies the following condition as \(X\) tends to infinity \[ A X \frac{(
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