| Title:
|
Non-commutative interpolation of Sobolev-Besov and Lebesgue spaces with weights (English) |
| Author:
|
Schmeisser, Jutta |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
31 |
| Issue:
|
3 |
| Year:
|
1981 |
| Pages:
|
341-367 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
46E35 |
| MSC:
|
46M35 |
| idZBL:
|
Zbl 0466.46060 |
| idMR:
|
MR626911 |
| DOI:
|
10.21136/CMJ.1981.101752 |
| . |
| Date available:
|
2008-06-09T14:44:31Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101752 |
| . |
| Reference:
|
[1] A. Favini: Sulla interpolazione di certi spazi di Sobolev con peso.Rend. Sem. Mat. Univ. Padova, Vol. 50 (1973). MR 0355576 |
| Reference:
|
[2] J. E. Gilbert: Interpolation between weighted $L_p$-spaces.Arkiv. for Mat. 10 (1972) 235-249. Zbl 0264.46027, MR 0324393, 10.1007/BF02384812 |
| Reference:
|
[3] P. Grisvard: Commutativité de deux foncteurs d'interpolation et applications.Journ. Math. Pures et Appl. 45 (1966) 143-290. Zbl 0187.05803, MR 0221309 |
| Reference:
|
[4] P. Grisvard: Interpolation non commutative.Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 52 (1972) 11-15. Zbl 0247.46053, MR 0358337 |
| Reference:
|
[5] P. Grisvard: Caracterisation de Quelques Espaces d'Interpolation.Arch. Rat. Mech. Analysis 25, 40-63 (1967). Zbl 0187.05901, MR 0213864, 10.1007/BF00281421 |
| Reference:
|
[6] P. Grisvard: Équations opérationelles abstraites et problèmes aux limites dans des domaines non réguliers.Actes, Congrès Intern. Math. 1970, t. 2, (1971), 731 - 736. MR 0508651 |
| Reference:
|
[7] H. Komatsu: Fractional powers of operators, VI. Interpolation of nonnegative operators and imbedding theorem.Journ. Fac. Sci. Univ. Tokyo, Sec. I. A, Mathem. 19 (1972), 1-63. MR 0318964 |
| Reference:
|
[8] J.-L. Lions: Un Theorem de traces, applications.C.R. Acad. Sci. Paris 249, 2259-2261 (1959). MR 0114112 |
| Reference:
|
[9] T. Muramatu: Products of fractional powers of operators.Journ. Sci. Univ. Tokyo, Sec. I. A, Mathem. 17 (1970), 581-590. Zbl 0214.12001, MR 0285931 |
| Reference:
|
[10] J. Peetre: Über den Durchschnitt von Interpolationsräumen.Arch. d. Math. 25, 511 - 513 (1974). Zbl 0293.46025, MR 0383103, 10.1007/BF01238718 |
| Reference:
|
[11] J. Peetre: A new approach in interpolation spaces.Studia Math. 34 (1970) 23 - 40. Zbl 0188.43602, MR 0264390, 10.4064/sm-34-1-23-42 |
| Reference:
|
[12] J. Peetre: A theory of interpolation of normed spaces.Notes Universidade de Brasilia 1963 [Notas de matematica 39 (1968)]. MR 0243340 |
| Reference:
|
[13] H. Triebel: Singulare elliptische Differentialgleichungen und Interpolationssätze für Sobolev-Slobodeckij-Räume mit Gewichtsfunktionen.Arch. Rat. Mech. Analysis 32 (1969) 113-134. MR 0238072, 10.1007/BF00247677 |
| Reference:
|
[14] H. Triebel: Allgemeine LEGENDRESCHE Differentialoperatoren.Ann. Scuola Norm. Sup. Pisa 24 (1970), 1-35. Zbl 0195.42701, MR 0275231 |
| Reference:
|
[15] H. Triebel: Eine Bemerkung zur nichtkommutativen Interpolation.Math. Nachr. 69 (1975), 57-60. MR 0390797, 10.1002/mana.19750690105 |
| Reference:
|
[16] H. Triebel: Interpolation theory, function spaces, dififerential operators.VEB Deutscher Verl. Wissenschaften Berlin. MR 0500580 |
| . |
