Results 191 to 200 of about 9,328 (235)
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Canadian Journal of Mathematics, 1996
AbstractWe study density and extension problems for weighted Sobolev spaces on bounded (ε, δ) domains𝓓when a doubling weight w satisfies the weighted Poincaré inequality on cubes near the boundary of 𝓓 and when it is in the MuckenhouptApclass locally in 𝓓. Moreover, when the weightswi(x) are of the form dist(x,Mi)αi,αi∈ ℝ,Mi⊂ 𝓓that are doubling, we are
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AbstractWe study density and extension problems for weighted Sobolev spaces on bounded (ε, δ) domains𝓓when a doubling weight w satisfies the weighted Poincaré inequality on cubes near the boundary of 𝓓 and when it is in the MuckenhouptApclass locally in 𝓓. Moreover, when the weightswi(x) are of the form dist(x,Mi)αi,αi∈ ℝ,Mi⊂ 𝓓that are doubling, we are
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Embeddings of Anisotropic Sobolev Spaces
Archive for Rational Mechanics and Analysis, 1986This paper deals with the approximation and the entropy numbers of the embedding I of an anisotropic Sobolev space \(W^{r,p}(\Omega)\) into an Orlicz space \(L^{\phi}(\Omega)\), where \(\Omega\) is an open subset of \({\mathbb{R}}^ n\).
Edmunds, D. E., Edmunds, R. M.
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On one generalization of Sobolev spaces
Siberian Mathematical Journal, 1998In [Potential Anal. 5, No. 4, 403-415 (1996; Zbl 0859.46022)], \textit{P. Hajłasz} defined the Sobolev space \(S^1_p(X)\) on an arbitrary metric space.
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Canonical potential and Lp-Sobolev space involving linear canonical Fourier transform
Integral Transforms and Special Functions, 2023Akhilesh Prasad
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Metric Space Mappings Connected with Sobolev-Type Function Classes
Siberian Mathematical Journal, 2023A S Romanov, Romanov A S
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