Results 51 to 60 of about 5,210,310 (318)
Gossez's approximation theorems in Musielak–Orlicz–Sobolev spaces [PDF]
Journal of Functional Analysis, 2017 We prove the density of smooth functions in the modular topology in the Musielak-Orlicz-Sobolev spaces essentially extending the results of Gossez \cite{GJP2} obtained in the Orlicz-Sobolev setting.
Youssef Ahmida +3 more
semanticscholar +1 more source
Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces [PDF]
, 2016 summary:We define and study Musielak-Orlicz-Sobolev spaces with zero boundary values on any metric space endowed with a Borel regular measure. We extend many classical results, including completeness, lattice properties and removable sets, to Musielak ...
Ohno, Takao, Shimomura, Tetsu
core +1 more source
Weighted Variable Exponent Sobolev spaces on metric measure spaces
Moroccan Journal of Pure and Applied Analysis, 2018 In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
doaj +1 more source
Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs
Mathematics, 2021 Let G be an infinite connected graph. We introduce two kinds of multilinear fractional maximal operators on G. By assuming that the graph G satisfies certain geometric conditions, we establish the bounds for the above operators on the endpoint Sobolev ...
Suying Liu, Feng Liu
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Preduals of Sobolev-Campanato spaces [PDF]
, 2001 summary:We present definitions of Banach spaces predual to Campanato spaces and Sobolev-Campanato spaces, respectively, and we announce some results on embeddings and isomorphisms between these spaces.
Gröger, Konrad, Recke, Lutz
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A note on homogeneous Sobolev spaces of fractional order [PDF]
Annali di Matematica Pura ed Applicata, 2018 We consider a homogeneous fractional Sobolev space obtained by completion of the space of smooth test functions, with respect to a Sobolev–Slobodeckiĭ norm.
L. Brasco, A. Salort
semanticscholar +1 more source
A Collection of sharp dilation invariant integral inequalities for differentiable functions
, 2008 Presentation of new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physicsThe authors and editors are world-renowned specialists, working in different countriesPublication on the ...
Shaposhnikova, Tatyana, +1 more
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Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces
Journal of Function Spaces, 2017 Let s∈R and 2≤p≤∞. We prove that the Segal-Bargmann transform B is a bounded operator from fractional Hermite-Sobolev spaces WHs,pRn to fractional Fock-Sobolev spaces FRs,p.
Hong Rae Cho, Hyunil Choi, Han-Wool Lee
doaj +1 more source
Axiomatic theory of Sobolev spaces [PDF]
, 2001 We develop an axiomatic approach to the theory of Sobolev spaces on metric measure spaces and we show that this axiomatic construction covers the main known examples (Hajlasz Sobolev spaces, weighted Sobolev spaces, Upper-radients, etc).
Gol'dshtein, Vladimir, Troyanov, Marc
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Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains
, 2002 Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
M. Mitrea +3 more
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