Results 101 to 110 of about 5,040,927 (317)
A short proof of the infinitesimal Hilbertianity of the weighted Euclidean space
Comptes Rendus. Mathématique, 2020 We provide a quick proof of the following known result: the Sobolev space associated with the Euclidean space, endowed with the Euclidean distance and an arbitrary Radon measure, is Hilbert.
Di Marino, Simone +2 more
doaj +1 more source
Sobolev and Hardy-Sobolev spaces on graphs
, 2012 Let $ $ be a graph. Under suitable geometric assumptions on $ $, we give several equivalent characterizations of Sobolev and Hardy-Sobolev spaces on $ $, in terms of maximal functionals, Haj asz type functionals or atomic decompositions. As an application, we study the boundedness of Riesz transforms on Hardy spaces on $ $.
Russ, Emmanuel, Turkawi, Maamoun
openaire +3 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider the energy critical nonlinear Schrödinger equation with a repulsive inverse square potential. In particular, we deal with radial initial data, whose energy is equal to the energy of static solution to the corresponding nonlinear Schrödinger equation without a potential.
Masaru Hamano, Masahiro Ikeda
wiley +1 more source
Journal of Inequalities and Applications, 2011 Let , the authors introduce in this paper a class of the hypersingular Marcinkiewicz integrals along surface with variable kernels defined by , where with .
Ruiying Wei, Yin Li
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How smooth is almost every function in a Sobolev space
, 2006 We show that almost every function (in the sense of prevalence) in a Sobolev space is multifractal: Its regularity changes from point to point; the sets of points with a given Holder regularity are fractal sets, and we determine their Hausdorff dimension.
A. Fraysse, S. Jaffard
semanticscholar +1 more source
Poincaré inequalities and Sobolev spaces [PDF]
Publicacions Matemàtiques, 2002 Our understsanding of the interplay between Poincaré inequalities, Sobolev inequalities and the geometry of the underlying space has changed considerably in recent years. These changes have simultaneously provided new insights into the classical theory and allowed much of that theory to be extended to a wide variety of different settings.
openaire +5 more sources
Sobolev spaces and the Cayley transform [PDF]
Proceedings of the American Mathematical Society, 2005 The generalised Cayley transform C \mathcal {C} from an Iwasawa N N -group into the corresponding real unit sphere S \mathbb {S} induces isomorphisms between suitable Sobolev spaces H α ( S
ASTENGO, FRANCESCA, DI BLASIO B.
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Integrating the Probe and Singular Sources Methods: II. the Stokes System
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, an integrated theory of the probe and singular sources methods for an inverse obstacle problem governed by the Stokes system in a bounded domain is developed. The main results consist of the probe method for the Stokes system, the singular sources method by using the notion of the probe method, and the completely integrated ...
Masaru Ikehata
wiley +1 more source
Exact constant in Sobolev's and Sobolev's trace inequalities for Grand Lebesgue Spaces with monomial weight [PDF]
arXiv, 2014 We generalize in this article the classical Sobolev's and Sobolev's trace inequalities on the Grand Lebesgue Spaces under monomial weight instead the classical Lebesgue or grand Lebesgue Spaces. We will distinguish the classical Sobolev's inequality and the so-called trace Sobolev's inequality.
arxiv
Lp-error estimates for "shifted'' surface spline interpolation on Sobolev space
Mathematics of Computation, 2003 The accuracy of interpolation by a radial basis function φ is usually very satisfactory provided that the approximant f is reasonably smooth. However, for functions which have smoothness below a certain order associated with the basis function φ, no ...
Jungho Yoon
semanticscholar +1 more source