@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}, publisher = {Scuola normale superiore}, volume = {Ser. 3, 27}, number = {1}, year = {1973}, zbl = {0258.46033}, language = {en}, url = {http://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 - http://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 http://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. http://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]. | MR | Zbl
, , , ,[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. | MR | Zbl
,[4] Inequalities. Cambridge 1952. | MR | Zbl
, , ,[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. | Numdam | MR | Zbl
, ,[8] Problemi ai limiti non omogenei V. Ann. scuol. norm. sup-Pisa 16 (1962), 1-44. | Numdam | MR | Zbl
, ,[9] Sur une classe d' éspaces d'interpotation. Inst. Hautes Études Sci, Publ. Math. 19 (1964), 5-68. | Numdam | MR | Zbl
, ,[10] Interpolation spaces and partial differential equations. Usp. mat. nauk 21 (1966), 169-218. [Russian]. | MR | Zbl
,[11] On Besov spaces of functions defined in general regions. Publ. Res. Inst-Mathem. Sci., Kyoto Univ. 6 (1970/71), 515-543, | MR | Zbl
,[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. | MR | Zbl
,[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. | MR | Zbl
,[17] Spaces of distributions of Besov type on Euclidean n-space. Dnality, interpolation Arkiv f. Matem. (to appear). | MR | Zbl
,[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). | MR | Zbl
,[20] Embedding theorenis and their applications. Papers of the symposium for embedding theorems in Baku 1966. Nauka, Moskva 1970. [Russian].