@article{ASNSP_1973_3_27_1_73_0,
author = {Triebel, Hans},
title = {Boundary values for {Sobolev-spaces} with weights. {Density} of $D (\Omega ) \text{ in } W^s_{p, \gamma _0, \dots , \gamma _r} (\Omega ) \text{ and in } H^s_{p, \gamma _0, \dots , \gamma _r} (\Omega )$ for $s$ > $0$ and $r = \left[s - \frac{1}{p}\right]^-$},
journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche},
pages = {73--96},
year = {1973},
publisher = {Scuola normale superiore},
volume = {Ser. 3, 27},
number = {1},
zbl = {0258.46033},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1973_3_27_1_73_0/}
}
TY - JOUR
AU - Triebel, Hans
TI - Boundary values for Sobolev-spaces with weights. Density of $D (\Omega ) \text{ in } W^s_{p, \gamma _0, \dots , \gamma _r} (\Omega ) \text{ and in } H^s_{p, \gamma _0, \dots , \gamma _r} (\Omega )$ for $s$ > $0$ and $r = \left[s - \frac{1}{p}\right]^-$
JO - Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche
PY - 1973
SP - 73
EP - 96
VL - 27
IS - 1
PB - Scuola normale superiore
UR - https://www.numdam.org/item/ASNSP_1973_3_27_1_73_0/
LA - en
ID - ASNSP_1973_3_27_1_73_0
ER -
%0 Journal Article
%A Triebel, Hans
%T Boundary values for Sobolev-spaces with weights. Density of $D (\Omega ) \text{ in } W^s_{p, \gamma _0, \dots , \gamma _r} (\Omega ) \text{ and in } H^s_{p, \gamma _0, \dots , \gamma _r} (\Omega )$ for $s$ > $0$ and $r = \left[s - \frac{1}{p}\right]^-$
%J Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche
%D 1973
%P 73-96
%V 27
%N 1
%I Scuola normale superiore
%U https://www.numdam.org/item/ASNSP_1973_3_27_1_73_0/
%G en
%F ASNSP_1973_3_27_1_73_0
Triebel, Hans. Boundary values for Sobolev-spaces with weights. Density of $D (\Omega ) \text{ in } W^s_{p, \gamma _0, \dots , \gamma _r} (\Omega ) \text{ and in } H^s_{p, \gamma _0, \dots , \gamma _r} (\Omega )$ for $s$ > $0$ and $r = \left[s - \frac{1}{p}\right]^-$. Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 27 (1973) no. 1, pp. 73-96. https://www.numdam.org/item/ASNSP_1973_3_27_1_73_0/
[1] , , , ,Sonia properties for classes with weights. Dokl. akad. nauk SSSR 171 (1966), 514-516, [Russian]. | Zbl | MR
[2] , , Senti-group8 of operators and approxirrzation, Springer, Ber lin 1967.
[3] , Commutativé de deux foncteurs d'enterpolation et applications, Journ. Math. pures et appl. 45 (1966), 143-290. | Zbl | MR
[4] , , , Inequalities. Cambridge 1952. | Zbl | MR
[5] , Properties of some classes of differentiable functions of several variables in n-dimensvonal domains, Trudy mat inst. Steklova 66 (1962), 227-363. [Russian]. | MR
[6] , , Problèmes aux limites non homogènes et applications. vol. I. Dnnod, Paris 1968. | Zbl
[7] , , Problèmes aux limites non homogèneS IV. Ann. scuol. norm. sup. Pisa 15 (1961), 311-326. | Zbl | MR | Numdam
[8] , , Problemi ai limiti non omogenei V. Ann. scuol. norm. sup-Pisa 16 (1962), 1-44. | Zbl | MR | Numdam
[9] , , Sur une classe d' éspaces d'interpotation. Inst. Hautes Études Sci, Publ. Math. 19 (1964), 5-68. | Zbl | MR | Numdam
[10] , Interpolation spaces and partial differential equations. Usp. mat. nauk 21 (1966), 169-218. [Russian]. | Zbl | MR
[11] , On Besov spaces of functions defined in general regions. Publ. Res. Inst-Mathem. Sci., Kyoto Univ. 6 (1970/71), 515-543, | Zbl | MR
[12] , Approximation of functions of several variables and embedding theorarns. Nauka, Moskva 1969. [Russian].
[13] , Sur le nombre de paramètres dans la définition de oertain espaces d'anterpolation Ricerche Mat. 12 (1963), 248-261. | Zbl | MR
[14] , Une propriété des espaces Hs,p. Compt. Rend. Acad. Sci.(Paris) 255 (1962), 448-449. | Zbl
[15] , Some applioations of functional analysis in mathematical physics. Leningrad, 1950. [Russian].
[16] , Allgemeine Legandresche Differentialoperateren I. Jonrn. Functional Anal. 6 (1970), 1-25. | Zbl | MR
[17] , Spaces of distributions of Besov type on Euclidean n-space. Dnality, interpolation Arkiv f. Matem. (to appear). | Zbl | MR
[18] , Uber die Existeitz von Schauderbasen in Sobolev - Besov - Räumen. Isomorphiebeziehungen. Studia Math. (in Druck). | Zbl
[19] , Interpolation theory for function spaces of Besov type defined in domain8 I. Math. Nachrichten (to appear). | Zbl | MR
[20] Embedding theorenis and their applications. Papers of the symposium for embedding theorems in Baku 1966. Nauka, Moskva 1970. [Russian].





