Geodesic
Traces of a weighted Sobolev space in a singular case
Czechoslovak Mathematical Journal, Tome 45 (1995) no. 4, pp. 639-657
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1995.128560
Classification : 46E35 
@article{10_21136_CMJ_1995_128560,
     author = {Lang, J. and Nekvinda, A.},
     title = {Traces of a weighted {Sobolev} space in a singular case},
     journal = {Czechoslovak Mathematical Journal},
     pages = {639--657},
     year = {1995},
     volume = {45},
     number = {4},
     doi = {10.21136/CMJ.1995.128560},
     mrnumber = {1354923},
     zbl = {0881.46028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128560/}
}
TY  - JOUR
AU  - Lang, J.
AU  - Nekvinda, A.
TI  - Traces of a weighted Sobolev space in a singular case
JO  - Czechoslovak Mathematical Journal
PY  - 1995
SP  - 639
EP  - 657
VL  - 45
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128560/
DO  - 10.21136/CMJ.1995.128560
LA  - en
ID  - 10_21136_CMJ_1995_128560
ER  - 
%0 Journal Article
%A Lang, J.
%A Nekvinda, A.
%T Traces of a weighted Sobolev space in a singular case
%J Czechoslovak Mathematical Journal
%D 1995
%P 639-657
%V 45
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1995.128560/
%R 10.21136/CMJ.1995.128560
%G en
%F 10_21136_CMJ_1995_128560
Lang, J.; Nekvinda, A. Traces of a weighted Sobolev space in a singular case. Czechoslovak Mathematical Journal, Tome 45 (1995) no. 4, pp. 639-657. doi: 10.21136/CMJ.1995.128560

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

[2] A. Nekvinda, L. Pick: Characterization of traces of the weighted Sobolev space $H^{1,p}_{\varepsilon ,M}$. Functiones et Approximatio 20 (1992), 143–151. | MR

[3] V. G. Maz’ja, B. A. Plamenevskij: Weighted spaces with inhomogeneous norms and boundary value problems in domains with conical points. Elliptische Differentialgleichungen, (Tagung in Rostock 1977), WPU Rostock, 1978, pp. 169–190.

[4] A. Kufner: Weighted Sobolev Spaces. John Wiley + Sons, Chichester-New York-Brisbane-Toronto-Singapore, 1985. | MR | Zbl

[5] E. Gagliardo: Caratterizzazioni delle trace sulla frontiera relative ad alcuna di funzioni in $n$ variabili. Rend. Sem. Mat. Univ. Padova 27 (1957), 284–305. | MR

[6] J. Kadlec, A. Kufner: Characterization of functions with zero traces by integrals with weight functions I, II. Časopis Pěst. Mat. 91 (1966), 463–471, 92(1967), 16–28. | MR

[7] B. Opic, A. Kufner: Hardy-type Inequalities. Pitman Research Notes Math. Series 219, Longman Scientific and Technical, 1990. | MR

[8] J. García-Cuerva, J. L. Rubio de Francia: Weighted norm inequalities and related topics. Math. Studies 116 (1985), North Holland. | MR

[9] A. Nekvinda: Characterization of traces of weighted Sobolev spaces with $W^{1,p}(\Omega ,d^p_M)$ on $M$. Czech Math. Journal 43 (118) (1993), 695–722. | MR

Cité par Sources :