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The dimension of a closed subset ofR n and related function spaces

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References

  1. M. M. Day,Normed Linear Spaces, Springer (Berlin-Heidelberg-New York, 1973).

    Google Scholar 

  2. M. Frazier and B. Jawerth, Decomposition of Besov spaces,Indiana Univ. Math. J.,34 (1985), 777–799.

    Google Scholar 

  3. M. Frazier and B. Jawerth, A discrete transform and decomposition of distribution spaces,J. Funct. Anal.,93 (1990), 34–170.

    Google Scholar 

  4. M. Frazier, B. Jawerth and G. Weiss, Littlewood-Paley theory and the study of function spaces,CBMS-AMS Regional Conf. Ser.,79 (1991).

  5. A. Jonsson,Besov spaces on closed sets by means of atomic decompositions, preprint (Umeå, 1993).

  6. A. Jonsson, Besov spaces on closed subsets ofR n,Trans. AMS,341 (1994), 355–370.

    Google Scholar 

  7. A. Jonsson and H. Wallin, Function spaces on subsets ofR n,Math. reports 2,1. Harwood acad. publ. (London, 1984).

    Google Scholar 

  8. A. Jonsson and H. Wallin,The dual of Besov spaces on fractals, preprint (Umeå, 1993).

  9. D. G. Larman, A new theory of dimension,Proc. Lond. Math. Soc.,17 (1967), 178–192.

    Google Scholar 

  10. E. M. Stein,Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press (Princeton, 1970).

    Google Scholar 

  11. H. Triebel,Theory of Function Spaces, Birkhäuser (Basel, 1983).

    Google Scholar 

  12. H. Triebel,Theory of Function Spaces II, Birkhäuser (Basel, 1992).

    Google Scholar 

  13. H. Triebel and H. Winkelvoß,Intrinsic characterizations of function spaces on domains, Math. Z. (to appear).

  14. A. L. Vol'berg and S. V. Konyagin, On measures with the doubling condition (in Russian),Izv. Akad. Nauk SSSR, Ser. Mat.,51 (1987), 666–675. English transl.:Math. USSR Izvestiya,30 (1988), 629–637.

    Google Scholar 

  15. H. Wallin, New and old function spaces, inFunction Spaces and Applications, Springer Lect. Notes Math., vol. 1302, pp. 99–114 (Berlin-Heidelberg, 1988).

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Dedicated to Professor Károly Tandori on his seventieth birthday

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Triebel, H., Winkelvoß, H. The dimension of a closed subset ofR n and related function spaces. Acta Math Hung 68, 117–133 (1995). https://doi.org/10.1007/BF01874439

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