Geodesic
Decomposition of the weighted Sobolev space $W^{1,p}(\Omega,d_M^\epsilon)$ and its traces
Czechoslovak Mathematical Journal, Tome 43 (1993) no. 4, pp. 713-722
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DOI : 10.21136/CMJ.1993.128429
Classification : 46E35 
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Nekvinda, Aleš. Decomposition of the weighted Sobolev space $W^{1,p}(\Omega,d_M^\epsilon)$ and its traces. Czechoslovak Mathematical Journal, Tome 43 (1993) no. 4, pp. 713-722. doi: 10.21136/CMJ.1993.128429

[1] Nekvinda A.: Characterization of traces of the weighted Sobolev space $W^{1,p}(\Omega ,d_M^\varepsilon )$ on $M$. Czechoslovak Math. J. (to appear). | MR

[2] Rákosník J.: On embeddings and traces in Sobolev spaces with weights of power type. Approximation and Functional Spaces, Banach Center Publication, 22, PWN – Polish Scientific Publishers, Warsaw, 1989, pp. 331–339. | MR

[3] Nekvinda A., Pick L.: On traces on the weighted Sobolev spaces $H^{1,p}_{\varepsilon ,M}$. Funct. Approx. Comment. Math. 20 (1992), 143–151. | MR

[4] Edmunds, D. E., Kufner A., Rákosník J.: Embeddings of Sobolev spaces with weights of power type. Z. Anal. Anwend. 4 (1985), 25–34. | DOI | MR

[5] Maz’ja V. G., Plamenevskij B. A.: Weighted spaces with inhomogeneous norms and boundary value problems in domains with conical points. Elliptische Differentialgleichungen (Tagung in Rostock 1977), WPU, Rostock, 1978, pp. 161–190. (Russian) | MR

[6] Kufner A., Fučík S., John O.: Function Spaces. Academia, Prague, 1977. | MR

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