| Title:
|
Remarks on the interpolation of anisotropic spaces of Besov-Hardy-Sobolev type (English) |
| Author:
|
Stöckert, Bernd |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
32 |
| Issue:
|
2 |
| Year:
|
1982 |
| Pages:
|
233-244 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46E35 |
| MSC:
|
46M35 |
| idZBL:
|
Zbl 0521.46065 |
| idMR:
|
MR654059 |
| DOI:
|
10.21136/CMJ.1982.101799 |
| . |
| Date available:
|
2008-06-09T14:47:58Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101799 |
| . |
| Reference:
|
[1] J. Bergh J. Löfström: Interpolation Spaces.Berlin-Heidelberg-New York, 1976. |
| Reference:
|
[2] A. P. Сalderon A. Torchinsky: Parabolic Maximal Functions Associated with a Distribution.Advances in Math. 16, 1 (1975), 1-64; II. Advances in Math. 24, 2 (1977), 101-171. MR 0450888 |
| Reference:
|
[3] A. Kufner O. John S. Fučík: Function Spaces.Prague 1977. MR 0482102 |
| Reference:
|
[4] S. M. Nikoľskij: Approximation of Functions of Several Variables and Imbedding Theorems.Moskva 1969 (Russian); English translation, Berlin-Heidelberg-New York, 1975. |
| Reference:
|
[5] J. Peetre: New Thoughts on Besov Spaces.Duke Univ. Math. Series, Durham, 1976. Zbl 0356.46038, MR 0461123 |
| Reference:
|
[6] H.-J. Schmeisser H. Triebel: Anisotropic Spaces (Interpolation of Abstract Spaces and Function Spaces).Math. Nachr. 73 (1976), 107-123. MR 0430814, 10.1002/mana.19760730108 |
| Reference:
|
[7] H.-J. Schmeisser: Anisotropic Spaces, II. Equivalent Norms for Abstract Spaces, Function Spaces with Weights of Sobolev-Besov type.Math. Nachr. Zbl 0342.46023, MR 0467286 |
| Reference:
|
[8] H.-J. Schmeisser: Anisotropic Räume - Äquivalente Normen und Interpolation.Disserta- tion, Jena. |
| Reference:
|
[9] В. Stöckert H. Triebel: Decomposition Methods for Function Spaces of $B\sp{s}\sb{p,q}$ Type and $F\sp{s}\sb{p,q}$ Type.Math. Nachr. 89 (1979), 247-267. MR 0546886 |
| Reference:
|
[10] В. Stöckert: Remarks on Anisotropic Function Spaces.Proc. Int. Coll. Fourier Analysis and Approximation Theory, Budapest 1977, 789-797. MR 0540354 |
| Reference:
|
[11] H. Triebel: Interpolation Theory, Function Spaces, Differential Operators.Berlin 1978. Zbl 0387.46033, MR 0503903 |
| Reference:
|
[12] H. Triebel: Fourier Analysis and Function Spaces.Teubner-Texte Math., Leipzig 1977. Zbl 0345.42003, MR 0493311 |
| Reference:
|
[13] H. Triebel: Spaces of Besov-Hardy-Sobolev Type.Teubner-Texte Math., Leipzig 1978. Zbl 0408.46024, MR 0581907 |
| Reference:
|
[14] H. Triebel: Note on Papers by A. P. Calderon and A. Torchinsky Concerning Parabolic Maximal Functions and Related Spaces.preprint. |
| Reference:
|
[15] H. Triebel: Theorems of Littlewood-Paley Type for BMO and for Anisotropic Hardy Spaces.In "Constructive Function Theory", Proc. Internat. Conf., Blagoevgrad 1977, Sofia. |
| . |
