Remarks on the interpolation of anisotropic spaces of Besov-Hardy-Sobolev type

Bernd Stöckert

Czechoslovak Mathematical Journal (1982)

  • Volume: 32, Issue: 2, page 233-244
  • ISSN: 0011-4642

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Stöckert, Bernd. "Remarks on the interpolation of anisotropic spaces of Besov-Hardy-Sobolev type." Czechoslovak Mathematical Journal 32.2 (1982): 233-244. <http://eudml.org/doc/13309>.

@article{Stöckert1982,
author = {Stöckert, Bernd},
journal = {Czechoslovak Mathematical Journal},
keywords = {interpolation of anisotropic spaces of Besov-Hardy-Sobolev type; K-method},
language = {eng},
number = {2},
pages = {233-244},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Remarks on the interpolation of anisotropic spaces of Besov-Hardy-Sobolev type},
url = {http://eudml.org/doc/13309},
volume = {32},
year = {1982},
}

TY - JOUR
AU - Stöckert, Bernd
TI - Remarks on the interpolation of anisotropic spaces of Besov-Hardy-Sobolev type
JO - Czechoslovak Mathematical Journal
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 2
SP - 233
EP - 244
LA - eng
KW - interpolation of anisotropic spaces of Besov-Hardy-Sobolev type; K-method
UR - http://eudml.org/doc/13309
ER -

References

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  1. J. Bergh J. Löfström, Interpolation Spaces, Berlin-Heidelberg-New York, 1976. (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. (1975) MR0450888
  3. A. Kufner O. John S. Fučík, Function Spaces, Prague 1977. (1977) MR0482102
  4. S. M. Nikoľskij, Approximation of Functions of Several Variables and Imbedding Theorems, Moskva 1969 (Russian); English translation, Berlin-Heidelberg-New York, 1975. (1969) 
  5. J. Peetre, New Thoughts on Besov Spaces, Duke Univ. Math. Series, Durham, 1976. (1976) Zbl0356.46038MR0461123
  6. H.-J. Schmeisser H. Triebel, 10.1002/mana.19760730108, Math. Nachr. 73 (1976), 107-123. (1976) MR0430814DOI10.1002/mana.19760730108
  7. H.-J. Schmeisser, Anisotropic Spaces, II. Equivalent Norms for Abstract Spaces, Function Spaces with Weights of Sobolev-Besov type, Math. Nachr. Zbl0342.46023MR0467286
  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 p , q s Type and F p , q s Type, Math. Nachr. 89 (1979), 247-267. (1979) MR0546886
  10. В. Stöckert, Remarks on Anisotropic Function Spaces, Proc. Int. Coll. Fourier Analysis and Approximation Theory, Budapest 1977, 789-797. (1977) MR0540354
  11. H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, Berlin 1978. (1978) Zbl0387.46033MR0503903
  12. H. Triebel, Fourier Analysis and Function Spaces, Teubner-Texte Math., Leipzig 1977. (1977) Zbl0345.42003MR0493311
  13. H. Triebel, Spaces of Besov-Hardy-Sobolev Type, Teubner-Texte Math., Leipzig 1978. (1978) Zbl0408.46024MR0581907
  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. (1977) 

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