Results 21 to 30 of about 3,768,610 (218)

On the closed range problem for composition operators on the Dirichlet space

open access: yesConcrete 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

Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps

open access: yesAdvances in Nonlinear Analysis, 2019
A free homotopy decomposition of any continuous map from a compact Riemannian manifold 𝓜 to a compact Riemannian manifold 𝓝 into a finite number maps belonging to a finite set is constructed, in such a way that the number of maps in this free homotopy ...
Schaftingen Jean Van
doaj   +1 more source

I: Retrieval of Atmospheric Carbon Dioxide from High-Resolution Spectra. II: Interannual Variability of the Stratospheric Quasi-Biennual Oscillation [PDF]

open access: yes, 2011
This thesis is devoted to an understanding of climate changes in the troposphere and the stratosphere from different aspects. In the troposphere, projecting future climate depends on our understanding of the exchange of CO₂ between the atmosphere, oceans,
Le Kuai (è’Żäč, Kuai, Le
core   +1 more source

Geometric Inequalities and Bounded Mean Oscillation [PDF]

open access: yes, 2020
In this thesis, we study the space of functions of bounded mean oscillation (BMO) on shapes. We prove the boundedness of important nonlinear operators, such as maximal functions and rearrangements, on this space and analyse how the bounds are affected by
Gibara, Ryan
core   +1 more source

Two-dimensional magnetohydrodynamic turbulence in the limits of infinite and vanishing magnetic Prandtl number [PDF]

open access: yes, 2013
LAKB was supported by an EPSRC post-graduate studentship.We study both theoretically and numerically two-dimensional magnetohydrodynamic turbulence at infinite and zero magnetic Prandtl number $Pm$ (and the limits thereof), with an emphasis on solution ...
Tran, Chuong Van   +2 more
core   +1 more source

What can a mean-field model tell us about the dynamics of the cortex? [PDF]

open access: yes, 2010
In this chapter we examine the dynamical behavior of a spatially homogeneous two-dimensional model of the cortex that incorporates membrane potential, synaptic flux rates and long- and short-range synaptic input, in two spatial dimensions, using ...
Steyn-Ross, Moira L.   +5 more
core   +1 more source

Local vanishing mean oscillation

open access: yes, 2022
We consider various notions of vanishing mean oscillation on a (possibly unbounded) domain $\Omega \subset \mathbb{R}^n$, and prove an analogue of Sarason's theorem, giving sufficient conditions for the density of bounded Lipschitz functions in the ...
Dafni, Galia, Butaev, Almaz
core  

Fractional maximal functions and mean oscillation on bounded doubling metric measure spaces [PDF]

open access: yes, 2023
Let $(X,d,\mu)$ be a doubling metric measure space. We consider the behaviour of the fractional maximal function $M^\alpha$ for $0\leq \alpha0$, we additionally assume that the space is bounded.
Kline, Josh, Gibara, Ryan
core  

Optimal Hölder Regularity for Discontinuous Sub-Elliptic Systems Structured on Hörmander’s Vector Fields

open access: yesAxioms
This paper studies discontinuous quasilinear sub-elliptic systems associated with Hörmander’s vector fields under controllable and natural growth conditions.
Dongni Liao, Jialin Wang
doaj   +1 more source

Irradiation‐Induced Spin Bath Evolution and as‐Grown Hydrogen Defects in CVD Diamond Revealed by NV‐Based DEER Spectroscopy

open access: yesAdvanced Functional Materials, EarlyView.
Here, we provide the reader with the current state of the art in the fabrication of high‐T2‐coherence diamond, optimized through the use of double electron–electron resonance (DEER) spectroscopy. We reveal the main as well as yet unidentified spin defects, the reduction of which is essential for reducing the spin bath and fabricating materials for ...
Olga Rubinas   +6 more
wiley   +1 more source

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