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
openalex +3 more sources
Generalized Vanishing Mean Oscillation Spaces Associated with Divergence Form Elliptic Operators [PDF]
Integral Equations and Operator Theory, 2010 Integral Equations Operator Theory (to appear)
Renjin Jiang, Dachun Yang
openalex +3 more sources
Bounded functions of vanishing mean oscillation on compact metric spaces
Journal of Functional Analysis, 2003 Consider a metric space \((X,\,\rho)\) with a doubling measure \(\mu\). Generalizing a classical result due to \textit{T. H. Wolff} [Duke Math. J. 49, 321--328 (1982; Zbl 0494.30042)], the author proves that for every \(f\in L^{\infty}(\mu)\) there exists \(\eta\in VMO(X,d,\mu)\) such that \(0\leq\eta\leq 1\), \(\log\eta\in VMO(X,d,\mu)\), and \(\eta f\
Jingbo Xia
openalex +2 more sources
Elliptic boundary value problem in Vanishing Mean Oscillation hypothesis [PDF]
, 1999 The aim of this paper is to prove the well-posedness of the Dirichlet problem \[ \left \{ \begin{aligned} &\mathcal L u+b_iu_{x_i}-(d_ju)_{x_j}+cu=(f_j)_{x_j} \quad \text{for a.e. \(x\in \Omega \)},\\ &u=0\quad \text{on \(\partial \Omega \)}, \end{aligned} \right .
Maria Alessandra Ragusa
openalex +3 more sources
The logarithm of the Poisson kernel of a $C\sp{1}$ domain has vanishing mean oscillation [PDF]
Transactions of the American Mathematical Society, 1982 David Jerison, Carlos E. Kenig
openalex +2 more sources
A decomposition of functions with vanishing mean oscillation [PDF]
, 2001 Michael Brian Korey
openalex +3 more sources
Fat/Water Separation at 7 T Using a 3D Radial Sequence With Quasi-Continuous Echo Times. [PDF]
Magn Reson MedABSTRACT Purpose To achieve a reliable fat/water separation (FWS) at 7 T using a new 3D radial sequence and reconstruction workflow with quasi‐continuous TE sampling. Methods A 3D radial density‐adapted sequence with quasi‐continuous TE sampling was developed for a 7 T whole‐body MRI system.
Rohe M +9 more
europepmc +2 more sources
Seasonal and El Niño–Southern Oscillation-related ocean variability in the Panama Bight [PDF]
Ocean Science, 2023 In the Panama Bight, two different seasonal surface circulation patterns coincide with a strong mean sea level variation, as observed from 27 years of absolute dynamic topography (ADT) and the use of self-organizing maps.
R. R. Torres +5 more
doaj +1 more source
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
doaj +1 more source
On the closed range problem for composition operators on the Dirichlet space
Concrete Operators, 2019 We characterize closed range composition operators on the Dirichlet space for a particular class of composition symbols. The characterization relies on a result about Fredholm Toeplitz operators with BMO1 symbols, and with Berezin transforms of vanishing
Zorboska Nina
doaj +1 more source