Decomposition of the weighted Sobolev space $W^{1,p}(\Omega ,d_M^\epsilon )$ and its traces

Aleš Nekvinda

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Displaying similar documents to “Decomposition of the weighted Sobolev space $W^{1, p} (Ω, d_{M}^{ϵ})$ and its traces”

On the polynomials orthogonal in the interval $(- \infty, + \infty)$ with the weight function $exp (- x^{8})$

Václav Stanček (1990)

Časopis pro pěstování matematiky

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The trace theorem $W_{p}^{2, 1} (Ω_{T}) ∋ f \mapsto \nabla_{x} f \in W_{p}^{1 - 1 / p, 1 / 2 - 1 / 2 p} (\partial Ω_{T})$ revisited

Peter Weidemaier (1991)

Commentationes Mathematicae Universitatis Carolinae

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Filling a possible gap in the literature, we give a complete and readable proof of this trace theorem, which also shows that the imbedding constant is uniformly bounded for $T ↓ 0$ . The proof is based on a version of Hardy’s inequality (cp. Appendix).

Characterization of traces of the weighted Sobolev space $W^{1, p} (Ω, d_{M}^{ϵ})$ on $M$

Aleš Nekvinda (1993)

Czechoslovak Mathematical Journal

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Displaying similar documents to “Decomposition of the weighted Sobolev space W 1 , p ( Ω , d M ϵ ) and its traces”

On the polynomials orthogonal in the interval ( - ∞ , + ∞ ) with the weight function exp ( - x 8 )

The trace theorem W p 2 , 1 ( Ω T ) ∋ f ↦ ∇ x f ∈ W p 1 - 1 / p , 1 / 2 - 1 / 2 p ( ∂ Ω T ) revisited

Characterization of traces of the weighted Sobolev space W 1 , p ( Ω , d M ϵ ) on M

Displaying similar documents to “Decomposition of the weighted Sobolev space $W^{1, p} (Ω, d_{M}^{ϵ})$ and its traces”

On the polynomials orthogonal in the interval $(- \infty, + \infty)$ with the weight function $exp (- x^{8})$

The trace theorem $W_{p}^{2, 1} (Ω_{T}) ∋ f \mapsto \nabla_{x} f \in W_{p}^{1 - 1 / p, 1 / 2 - 1 / 2 p} (\partial Ω_{T})$ revisited

Characterization of traces of the weighted Sobolev space $W^{1, p} (Ω, d_{M}^{ϵ})$ on $M$