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BMO Functions on Compact Sets

Mathematische Nachrichten, 1999
AbstractLet P be an elliptic differential operator of order p with real analytic coefficients on in open set Q ⊂ ℝn. Given a compact set K ⊂ Ω, we describe the closure in BMO(K) of the space of mentions of Pf = 0 on neighborhoods of K.
Korey, Michael, Tarkhanov, Nikolai
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BMO Solvability and $$A_{\infty }$$A∞ Condition of the Elliptic Measures in Uniform Domains

, 2016
We consider the Dirichlet boundary value problem for divergence form elliptic operators with bounded measurable coefficients. We prove that for uniform domains with Ahlfors regular boundary, the BMO solvability of such problems is equivalent to a ...
Zihui Zhao
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H1 and BMO

1997
Recall from Ch. 6 that a function u on T is in L p (T) if and only if its Hubert transform Hu is. By virtue of (2.8) in Ch. 6, we can define the Hubert transform even for u ∈ L1(T) as a formal Fourier series; in general, it will not belong to L1(T) but merely be a distribution; cf. Remark 2.1 in Ch. 6.
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Subspaces of BMO(R n )

Transactions of the American Mathematical Society, 1985
Summary: We consider subspaces of \(BMO(R^ n)\) generated by one singular integral transform. We show that the averages along \(x_ j\)-lines of the jth Riesz transform of \(g\in BMO\cap L^ 2(R^ n)\) or \(g\in L^{\infty}(R^ n)\) satisfy a certain strong regularity property. One consequence of this result is that such functions satisfy a uniform doubling
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?? ???????????????????? ???????????????? ?????????????? ?? ?????????? ???????????????????????? BMO

2019
???????????????? ?????????? ???????????????????????? ??-???????????? ???? ?????????????? (0, 1]. ???????????????????? ???????????? ?????????? ?????????????????? ?????????????????? ?????????????????????????????? ???????????????? ???????????????????????? ???????????????????????? ??-??????????????, ???????????????????????? ?? ????????????????????????
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BMO(ρ) and Carleson Measures

Transactions of the American Mathematical Society, 1985
This paper concerns certain generalizations of BMO, the space of functions of bounded mean oscillation. Let \(\rho\) be a positive nondecreasing function on (0,\(\infty)\) with \(\rho (0+)=0\). A locally integrable function on \({\mathbb{R}}^ m\) is said to belong to BMO(\(\rho)\) if its mean oscillation over any cube Q is O(\(\rho\) (\(\ell (Q ...
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Effective stabilization of arsenic in contaminated soils with biogenic manganese oxide (BMO) materials.

Environmental Pollution, 2019
Ya-nan Wang   +6 more
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Inhibition of expression of BmNPV cg30 by bmo-miRNA-390 is a host response to baculovirus invasion

Archives of Virology, 2018
Lequn Kang   +6 more
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