Results 201 to 210 of about 1,613 (219)

Spaces of Functions with Bounded and Vanishing Mean Oscillation [PDF]

, 2003
We study generalized Campanato spaces and its vanishing subspaces. Our main interest is the connection between the geometry of the domain and the relation of the Campanato spaces to convenient HOlder spaces. We define the vanishing subspace, an analogue of VMO, and study its properties. In particular, we characterize compact subsets of VMO.
David Opěla
exaly   +3 more sources

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Approximation and Extension of Functions of Vanishing Mean Oscillation

Journal of Geometric Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Almaz Butaev, Galia Dafni
exaly   +2 more sources

A Characterization of Vanishing Mean Oscillation

Monatshefte Fur Mathematik, 2006
Let \(\mu\) be a positive, finite Borel measure on the unit circle \(T\). The space of functions of vanishing mean oscillation with respect to \(\mu\) was introduced by \textit{D. Sarason} [Trans. Am. Math. Soc. 207, 391--405 (1975; Zbl 0319.42006)]. \textit{D. S. Jerison} and \textit{C. E.
Themis Mitsis
exaly   +3 more sources

Functions of Vanishing Mean Oscillation

Mathematische Nachrichten, 1987
Let \(Q_ 0\) represent the unit cube in \({\mathbb{R}}^ n\), let \[ \omega (f,\delta)=\sup_{| h| \leq \delta}\{ \sup_{x,x+h\in Q_ 0}| f(x+h)-f(x)| \} \] represent the essential modulus of continuity of f, and \[ \Omega (f,\delta)=\sup_{diam(Q_ 1\cup Q_ 2)0\), where \(Q_ 1\), \(Q_ 2\) are disjoint subcubes of \(Q_ 0\).
Xianliang Shi, Alberto Torchinsky
exaly   +3 more sources

A note on Functions of Vanishing mean Oscillation on the Bidisk

Bulletin of the London Mathematical Society, 1986
For a function \(f\in L^{\infty}(T^ 2)\), T the unit circle, \textit{S.-Y. A. Chang} has proved [Ann. Math., II. Ser. 109, 613-620 (1979; Zbl 0401.28004)] that the Poisson integral \(\Lambda\) is a bounded operator from \(L^ 2(T^ 2)\) to \(L^ 2(d\mu_ f)\), where \[ d\mu_ f= | \nabla_ 1\nabla_ 2 \Lambda f(z_ 1,z_ 2)|^ 2 \log (1/| z_ 1|) \log (1/| z_ 2|)
exaly   +3 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 .
Ragusa, Maria Alessandra
openaire   +4 more sources

A Decomposition of functions with vanishing mean oscillation [PDF]

, 2001
Korey, Michael Brian
core   +5 more sources

A fine topology criterion for vanishing mean Oscillation

Complex Variables, Theory and Application: An International Journal, 1990
Stochastic methods are used to obtain the following criterion for VMOA of the unit ball : THEORM 1 Let he nonconstant analytic such that For and put Assume that V ζ has empty fine interior for ...
openaire   +1 more source

Functions of Vanishing Mean Oscillations and Vanishing Hölder Moduli

2022
Dorina Mitrea, Irina Mitrea, Marius Mitrea   +2 more
openaire   +1 more source

Selection by vanishing common noise for potential finite state mean field games

Communications in Partial Differential Equations, 2022
Alekos Cecchin, François Delarue
exaly