Results 141 to 150 of about 5,040,927 (317)
Sobolev spaces associated with Jacobi expansions [PDF]
J. Math. Anal. Appl. 420 (2014), 1533-1551, 2013 We define and study Sobolev spaces associated with Jacobi expansions. We prove that these Sobolev spaces are isomorphic to Jacobi potential spaces. As a technical tool, we also show some approximation properties of Poisson-Jacobi integrals.
arxiv
Traces of Sobolev functions on regular surfaces in infinite dimensions
, 2013 In a Banach space $X$ endowed with a nondegenerate Gaussian measure, we consider Sobolev spaces of real functions defined in a sublevel set $O= \{x\in X:\;G(x) 1$, as elements of $L^1(G^{-1}(0), \rho)$ where $\rho$ is the surface measure of Feyel and de ...
Celada, Pietro, Lunardi, Alessandra
core
Approximation Theory of Multivariate Spline Functions in Sobolev Spaces [PDF]
, 1969 Martin H. Schultz
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Hardy-Sobolev-Maz'ya inequalities for higher order derivatives on half spaces [PDF]
arXiv, 2017 By using, among other things, the Fourier analysis techniques on hyperbolic and symmetric spaces, we establish the Hardy-Sobolev-Maz'ya inequalities for higher order derivatives on half spaces. The proof relies on a Hardy-Littlewood-Sobolev inequality on hyperbolic spaces which is of its independent interest.
arxiv
Stability Implies Convergence of Cascade Algorithms in Sobolev Space
, 2002 This article proves that the stability of the shifts of a refinable function vector ensures the convergence of the corresponding cascade algorithm in Sobolev space to which the refinable function vector belongs.
Dirong Chen, Xiaobo Zheng
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Maximal inequalities for dual Sobolev spaces $W^{-1,p}$ and applications to interpolation [PDF]
arXiv, 2008 We firstly describe a maximal inequality for dual Sobolev spaces W^{-1,p}. This one corresponds to a "Sobolev version" of usual properties of the Hardy-Littlewood maximal operator in Lebesgue spaces. Even in the euclidean space, this one seems to be new and we develop arguments in the general framework of Riemannian manifold.
arxiv
Optimal control problems in sobolev spaces with weights. Numerical approaches applications to plasma optimal control and time delay problems [PDF]
, 1976 Claudia Simionescu
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On Trace Theorems for Sobolev Spaces
, 2019 We survey a few trace theorems for Sobolev spaces on $N$-dimensional Euclidean domains. We include known results on linear subspaces, in particular hyperspaces, and smooth boundaries, as well as less known results for Lipschitz boundaries, including Besov's Theorem and other characterizations of traces on planar domains, polygons in particular, in the ...
Lamberti, PD, Provenzano, L
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Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications
Electronic Journal of Differential Equations, 2019 In this article we prove a Logarithmic Sobolev type inequality and a Poincare type inequality for functions in the anisotropic Gaussian Sobolev space.
Filomena Feo, Gabriella Paderni
doaj
Advanced Nonlinear Studies, 2019 In line with the Trudinger–Moser inequality in the fractional Sobolev–Slobodeckij space due to [S. Iula, A note on the Moser–Trudinger inequality in Sobolev–Slobodeckij spaces in dimension one, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.
Zhang Caifeng
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