Remarks on the interpolation of anisotropic spaces of Besov-Hardy-Sobolev type
Czechoslovak Mathematical Journal, Tome 32 (1982) no. 2, pp. 233-244
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DOI : 10.21136/CMJ.1982.101799
Classification : 46E35, 46M35
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Stöckert, Bernd. Remarks on the interpolation of anisotropic spaces of Besov-Hardy-Sobolev type. Czechoslovak Mathematical Journal, Tome 32 (1982) no. 2, pp. 233-244. doi: 10.21136/CMJ.1982.101799

[1] J. Bergh J. Löfström: Interpolation Spaces. Berlin-Heidelberg-New York, 1976.

[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

[3] A. Kufner O. John S. Fučík: Function Spaces. Prague 1977. | MR

[4] S. M. Nikoľskij: Approximation of Functions of Several Variables and Imbedding Theorems. Moskva 1969 (Russian); English translation, Berlin-Heidelberg-New York, 1975.

[5] J. Peetre: New Thoughts on Besov Spaces. Duke Univ. Math. Series, Durham, 1976. | MR | Zbl

[6] H.-J. Schmeisser H. Triebel: Anisotropic Spaces (Interpolation of Abstract Spaces and Function Spaces). Math. Nachr. 73 (1976), 107-123. | DOI | MR

[7] H.-J. Schmeisser: Anisotropic Spaces, II. Equivalent Norms for Abstract Spaces, Function Spaces with Weights of Sobolev-Besov type. Math. Nachr. | MR | Zbl

[8] H.-J. Schmeisser: Anisotropic Räume - Äquivalente Normen und Interpolation. Disserta- tion, Jena.

[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

[10] В. Stöckert: Remarks on Anisotropic Function Spaces. Proc. Int. Coll. Fourier Analysis and Approximation Theory, Budapest 1977, 789-797. | MR

[11] H. Triebel: Interpolation Theory, Function Spaces, Differential Operators. Berlin 1978. | MR | Zbl

[12] H. Triebel: Fourier Analysis and Function Spaces. Teubner-Texte Math., Leipzig 1977. | MR | Zbl

[13] H. Triebel: Spaces of Besov-Hardy-Sobolev Type. Teubner-Texte Math., Leipzig 1978. | MR | Zbl

[14] H. Triebel: Note on Papers by A. P. Calderon and A. Torchinsky Concerning Parabolic Maximal Functions and Related Spaces. preprint.

[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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