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BMO Solvability and $$A_{\infty }$$A∞ Condition of the Elliptic Measures in Uniform Domains
, 2016We 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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Carleson measures, BMO spaces and balayages associated to Schrödinger operators
, 2017Let L be a Schrödinger operator of the form L = −Δ+V acting on L2(Rn), n ≥ 3, where the nonnegative potential V belongs to the reverse Hölder class Bq for some q ≥ n: Let BMOL(Rn) denote the BMO space associated to the Schrödinger operator L on Rn.
Peng Chen +4 more
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Some Characterizations of BMO Spaces via Commutators in Orlicz Spaces on Stratified Lie Groups
Results in Mathematics, 2021V. Guliyev
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2009
In this chapter we provide some norm comparison theorems related to the BMO norms and the Lipschitz norms. We prove that the integrability exponents described in the Lipschitz norm comparison theorem (Theorem 9.2.1) are the best possible. We also develop some norm comparison theorems for the operators.
Shusen Ding +2 more
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In this chapter we provide some norm comparison theorems related to the BMO norms and the Lipschitz norms. We prove that the integrability exponents described in the Lipschitz norm comparison theorem (Theorem 9.2.1) are the best possible. We also develop some norm comparison theorems for the operators.
Shusen Ding +2 more
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2008
If the deviation of a function from its averages over all cubes is bounded, then the function is called of bounded mean oscillation (BMO). Bounded functions are of bounded mean oscillation, but there exist unbounded BMO functions. Such functions are slowly growing, and they typically have at most logarithmic blowup.
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If the deviation of a function from its averages over all cubes is bounded, then the function is called of bounded mean oscillation (BMO). Bounded functions are of bounded mean oscillation, but there exist unbounded BMO functions. Such functions are slowly growing, and they typically have at most logarithmic blowup.
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On BMO and the Torsion Function
1988The space BMO has been extensively studied by many authors (see [6] for a good exposition of this topic). However, whereas the real-variable theory is highly developed in any dimension, its counterpart, the space BMOH of harmonic functions of bounded mean oscillation seems not to be well understood in case the dimension is greater than two.
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Inhibition of expression of BmNPV cg30 by bmo-miRNA-390 is a host response to baculovirus invasion
Archives of Virology, 2018Lequn Kang +6 more
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BMO-invariance of quasiminimizers
2004Summary: We consider the BMO-invariance of quasiminimizers by means of quasihyperbolic metrics. It is shown that \[ \| u\circ\varphi\|_{\text{BMO}(\Omega)}\leq C\| u\|_{\text{BMO}(\Omega')} \] for all quasiminimizers \(u\) in \(\Omega'\) whenever \(\varphi:\Omega\to\Omega'\) is uniformly continuous with respect to quasihyperbolic metrics in the domains
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