Results 31 to 40 of about 70,010 (263)
On the Space of Bounded Mean Oscillations
The space of bounded mean oscillations, abbreviated BMO, was first introduced by F. John and L. Nirenberg in 1961 in the context of partial differential equations. Later, C. Fefferman proved that the BMO is the dual space of well-known Hardy space, popularly known as H1 space and became the center of attraction for mathematicians.
Aarjan Kumar Sunar, Santosh Ghimire
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Bounded mean oscillation and regulated martingales [PDF]
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
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A conditional regularity result for p-harmonic flows [PDF]
We prove an $\varepsilon$-regularity result for a wide class of parabolic systems $$ u_t-\text{div}\big(|\nabla u|^{p-2}\nabla u) = B(u, \nabla u) $$ with the right hand side $B$ growing like $|\nabla u|^p$.
Katarzyna Ewa Mazowiecka +4 more
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Integral Means, Bounded Means Oscillation, and Gelfer Functions [PDF]
A Gelfer function f f is a holomorphic function in the unit disc D = { z : | z | > 1 } D = \{ z:|z| > 1\} such that f ( 0 ) = 1 f(0) = 1 and
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Detecting spatial patterns with the cumulant function. Part II: An application to El Nino [PDF]
The spatial coherence of a measured variable (e.g. temperature or pressure) is often studied to determine the regions where this variable varies the most or to find teleconnections, i.e. correlations between specific regions.
Bernacchia, Alberto +3 more
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Some unsolved problems on meromorphic functions of uniformly bounded characteristic
The family UBC(R) of meromorphic functions of uniformly bounded characteristic in a Rieman surface R is defined in terms of the Shimizu-Ahlfors characteristic function.
Shinji Yamashita
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On Global Well-Posedness of the Lagrangian Averaged Euler Equations [PDF]
We study the global well-posedness of the Lagrangian averaged Euler equations in three dimensions. We show that a necessary and sufficient condition for the global existence is that the bounded mean oscillation of the stream function is integrable in ...
Hou, Thomas Y., Li, Congming
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Transpacific transport of benzo[a]pyrene emitted from Asia [PDF]
A global-scale three dimensional atmospheric transport and chemistry model was applied to simulate transpacific transport of Benzo[a]pyrene (BaP) emitted from Asia. The model results were compared with observations at six monitoring sites.
Y. Zhang, S. Tao, J. Ma, S. Simonich
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Quantitative oscillation estimates for almost-umbilical closed hypersurfaces in Euclidean space [PDF]
We prove $\epsilon$-closeness of hypersurfaces to a sphere in Euclidean space under the assumption that the traceless second fundamental form is $\delta$-small compared to the mean curvature.
Scheuer, Julian
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BMO and the John-Nirenberg Inequality on Measure Spaces
We study the space BMO𝒢 (𝕏) in the general setting of a measure space 𝕏 with a fixed collection 𝒢 of measurable sets of positive and finite measure, consisting of functions of bounded mean oscillation on sets in 𝒢.
Dafni Galia, Gibara Ryan, Lavigne Andrew
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