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Weighted Bounded Mean Oscillation Applied to Backward Stochastic Differential Equations

Stochastic Processes and Their Applications, 2020
We deduce conditional -estimates for the variation of a solution of a BSDE. Both quadratic and sub-quadratic types of BSDEs are considered, and using the theory of weighted bounded mean oscillation we deduce new tail estimates for the solution on ...
Stefan Geiss
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Functions of Bounded Mean Oscillation [PDF]

Taiwanese Journal of Mathematics, 2006
$BMO$, the space of functions of bounded mean oscillation, was first introduced by F. John and L. Nirenberg in 1961. It became a focus of attention when C. Fefferman proved that $BMO$ is the dual of the (real) Hardy space $H^1$ in 1971. In the past 30 years, this space was studied extensively by many mathematicians.
Der-Chen Chang, Cora Sadosky
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On Functions of Bounded Mean Oscillation

Communications on Pure and Applied Mathematics, 1961
L Nirenberg
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Extension of Functions With Bounded Mean Oscillation

Journal of Mathematical Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruslan Shanin
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On Riemann–Liouville Type Operators, Bounded Mean Oscillation, Gradient Estimates and Approximation on the Wiener Space

Stochastic Processes and Their Applications
We discuss in a stochastic framework the interplay between Riemann–Liouville type operators applied to stochastic processes, bounded mean oscillation, real interpolation, and approximation.
Stefan Geiss
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Bounded Mean Oscillation on the Polydisk

Annals of Mathematics, 1979
The 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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Brownian Motion, Hardy Spaces and Bounded Mean Oscillation

, 1977
An exposition of research on the martingale and analytic inequalities associated with Hardy spaces and functions of bounded mean oscillation (BMO)
Petersen, K E
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Normal Trace for a Vector Field of Bounded Mean Oscillation

Potential Analysis, 2022
zbMATH 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, 1999
Let \(E(x)\) 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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