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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
Date available: 2008-06-09T14:47:58Z
Last updated: 2016-04-06
Stable URL:
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.


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