The Properties of the Weighted Space $H_{2,\alpha }^k(\Omega )$ and Weighted Set $W_{2,\alpha }^k(\Omega ,\delta )$

Rukavishnikov, V.A.; Matveeva, E.V.; Rukavishnikova, E.I.

Geodesic

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The Properties of the Weighted Space $H_{2,\alpha }^k(\Omega )$ and Weighted Set $W_{2,\alpha }^k(\Omega ,\delta )$

Rukavishnikov, V.A. ; Matveeva, E.V. ; Rukavishnikova, E.I.

Communications in Mathematics, Tome 26 (2018) no. 1, pp. 31-45.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Résumé

We study the properties of the weighted space $H_{2,\alpha }^k(\Omega )$ and weighted set $W_{2,\alpha }^k(\Omega ,\delta )$ for boundary value problem with singularity.

MR Zbl

Classification : 46E35
Keywords: weighted functional spaces; weighted functional sets; weighted Sobolev spaces.

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     author = {Rukavishnikov, V.A. and Matveeva, E.V. and Rukavishnikova, E.I.},
     title = {The {Properties} of the {Weighted} {Space} $H_{2,\alpha }^k(\Omega )$ and {Weighted} {Set} $W_{2,\alpha }^k(\Omega ,\delta )$},
     journal = {Communications in Mathematics},
     pages = {31--45},
     publisher = {mathdoc},
     volume = {26},
     number = {1},
     year = {2018},
     mrnumber = {3827142},
     zbl = {1411.46032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_2018__26_1_a3/}
}

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Rukavishnikov, V.A.; Matveeva, E.V.; Rukavishnikova, E.I. The Properties of the Weighted Space $H_{2,\alpha }^k(\Omega )$ and Weighted Set $W_{2,\alpha }^k(\Omega ,\delta )$. Communications in Mathematics, Tome 26 (2018) no. 1, pp. 31-45. http://geodesic.mathdoc.fr/item/COMIM_2018__26_1_a3/