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Assessing trends and forecasting meteorological drought in South Africa using Savitzky-Golay enhanced hybrid deep learning. [PDF]
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Approximation and Extension of Functions of Vanishing Mean Oscillation
Journal of Geometric Analysis, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Galia Dafni, Almaz Butaev
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A Characterization of Vanishing Mean Oscillation
Monatshefte Fur Mathematik, 2006Let \(\mu\) 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
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Functions of Vanishing Mean Oscillation
Mathematische Nachrichten, 1987Let \(Q_ 0\) 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 \(Q_ 0\).
Shi, Xianliang, Torchinsky, Alberto
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A note on Functions of Vanishing mean Oscillation on the Bidisk
Bulletin of the London Mathematical Society, 1986For 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|)
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Spaces of Functions with Bounded and Vanishing Mean Oscillation
2003We 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.
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A fine topology criterion for vanishing mean Oscillation
Complex Variables, Theory and Application: An International Journal, 1990Stochastic 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 ...
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Functions of Vanishing Mean Oscillations and Vanishing Hölder Moduli
2022Dorina Mitrea +2 more
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Elliptic boundary value problem in Vanishing mean Oscillation hypothesis
1999The 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 .
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RIESZ TRANSFORMS ON SPACES OF VANISHING MEAN OSCILLATIONS
Journal of Mathematical SciencesDorina Mitrea, Marius Mitrea
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