Holomorphic semigroups and Sarason’s characterization of vanishing mean oscillation [PDF]
Revista Matemática Iberoamericana, 2022 It is a classical theorem of Sarason that an analytic function of bounded mean oscillation (BMOA) is of vanishing mean oscillation if and only if its rotations converge in norm to the original function as the angle of the rotation tends to zero. In a series of two papers, Blasco et al.
Chalmoukis, Nikolaos +1 more
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Graphs of maps between manifolds in trace spaces and with vanishing mean oscillation [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2014 We give a positive answer to a question raised by Alberti in connection with a recent result by Brezis and Nguyen. We show the existence of currents associated with graphs of maps in trace spaces that have vanishing mean oscillation. The degree of such maps may be written in terms of these currents, of which we give some structure properties.
ACERBI, Emilio Daniele Giovanni +1 more
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A decomposition of functions with vanishing mean oscillation
, 2008 A function has vanishing mean oscillation (VMO) on R up(n) if its mean oscillation - the local average of its pointwise deviation from its mean value - both is uniformly bounded over all cubes within R up(n) and converges to zero with the volume of the cube.
Korey, Michael Brian
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The Seasonal Cycle and Interannual Variability in Stratospheric Temperatures and Links to the Brewer–Dobson Circulation: An Analysis of MSU and SSU Data [PDF]
, 2011 Previous studies have shown that lower-stratosphere temperatures display a near-perfect cancellation between tropical and extratropical latitudes on both annual and interannual time scales. The out-of-phase relationship between tropical and high-latitude
Young, Paul J. +10 more
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Extreme points in spaces between Dirichlet and Vanishing Mean Oscillation [PDF]
Bulletin of the Australian Mathematical Society, 2003 Forp∈ (0, ∞) defineQp0(∂Δ) as the space of all Lebesgue measurable complex-valued functionsf; on the unit circle ∂Δ for which ∫∂Δf;(z)|dz|/(2π) = 0 andas the open subarcIof ∂Δ varies. Note that eachQp,0(∂Δ) lies between the Dirichlet space and Sarason's vanishing mean oscillation space.
Wirths, K. J., Xiao, J.
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Vanishing Geodesic Distance on Spaces of Submanifolds and Diffeomorphisms [PDF]
, 2010 The L^2-metric or Fubini-Study metric on the non-linear Grassmannian of all submanifolds of type M in a Riemannian manifold (N, g) induces geodesic distance 0.
Michor, Peter W., Mumford, David
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Homogeneous Herz spaces with variable exponents and regularity results
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this paper we deal with the second order divergence form operators $\mathcal{L}$ with coefficients satisfying the vanishing mean oscillation property and we prove some regularity results for a solution to $\mathcal{L}u=\mathrm{div}\, f$, where $f ...
Andrea Scapellato
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Extension Theorems for Functions of Vanishing Mean Oscillation [PDF]
, 1987 A locally integrable function is said to be of vanishing mean oscillation (VMO) if its mean oscillation over cubes in Rd converges to zero with the volume of the cubes.
Holden, Peter James
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Slowly Vanishing Mean Oscillations: Non-uniqueness of Blow-ups in a Two-phase Free Boundary Problem
Vietnam Journal of Mathematics, 2023 In Kenig and Toro's two-phase free boundary problem, one studies how the regularity of the Radon-Nikodym derivative $h= dω^-/dω^+$ of harmonic measures on complementary NTA domains controls the geometry of their common boundary. It is now known that $\log h \in C^{0,α}(\partial Ω)$ implies that pointwise the boundary has a unique blow-up, which is the ...
Matthew Badger +2 more
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Vanishing Results for Hall-Littlewood Polynomials [PDF]
, 2012 It is well-known that if one integrates a Schur function indexed by a partition λ over the symplectic (resp. orthogonal) group, the integral vanishes unless all parts of λ have even multiplicity (resp. all parts of λ are even).
Venkateswaran, Vidya
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