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Geometric properties of the unit ball in Hardy-type spaces

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Literature cited

  1. K. Hoffman, Banach Spaces of Analytic Functions, Prentice-Hall, Englewood Cliffs, New Jersey (1972).

    Google Scholar 

  2. D. J. Newman, “Pseudouniform convexity in H1,” Proc Am. Math. Soc.,14, No. 4, 676–679 (1963).

    Google Scholar 

  3. I. B. Bryskin, “On certain projections in symmetric spaces,” Tr. Aspirantov VGU, Voronezh (1969).

    Google Scholar 

  4. I. B. Bryskin, “Invariant subspaces of the shift operator in spaces of Hardy type,”Tr. NII Mat. VGU, Voronezh (1971).

    Google Scholar 

  5. I. B. Bryskin, “On spaces of Hardy type with a sufficiently symmetric norm,” Dopovidi Akad. Nauk Ukr. SSR (in press).

  6. E. M. Semenov, “Embedding theorems for Banach spaces of measurable functions,” Dokl. Akad. Nauk SSSR,156, No. 6 (1964).

  7. A. Zygmund, Trigonometric Series, Vol. 1, Cambridge Univ. Press, London-New York (1959).

    Google Scholar 

  8. G. G. Lorentz, “Some new functional spaces,” Ann. Math.,51, No. 1, 37 (1950).

    Google Scholar 

  9. E. M. Semenov, “Interpolation of linear operators in symmetric spaces,” Doctoral Dissertation, Voronezh (1968).

  10. R. Lesniewicz, “On Hardy-Orlicz spaces I,” Bull. Acad. Pol. Sci., Ser. Sci., Math., Phys. Astron.,14, 145–150 (1966); II, ibid.,15, 277–281 (1967).

    Google Scholar 

  11. K. de Leeuw and W. Rudin, “Extreme points and extreme problems in H1,” Pac. J. Math.,8, No. 3, 467–485 (1958).

    Google Scholar 

  12. M. I. Kadets, “On weak and strong convergence,” Dokl. Akad. Nauk SSSR,122, 13–16 (1958).

    Google Scholar 

  13. A. A. Sedaev, “On the H-property in symmetric spaces,”Teor. Funktsii, Funktsional'. Analiz, Ikh Prilozhen., No. 11 (1970).

  14. W. Warschawski, “Über einige Konvergenzsätze aus der Theorie der konformen Abbildungen” Gött. Nachr., 344–369 (1930).

  15. G. Ts. Tumarkin, “On conditions for the convergence in the mean of the boundary values of sequences of analytic functions,” Tr. Mosk. Geol.-Razved. Inst.,36, 154–174 (1959).

    Google Scholar 

  16. G. Ts. Tumarkin, “Local conditions for the convergence of the boundary values of sequences of analytic functions,” in: Investigations of Contemporary Problems in the Theory of Functions of a Complex Variable [in Russian], Moscow (1961), pp. 249–261.

  17. S. N. Kellogg, “Pseudo uniform convexity in H1,” Proc Am. Math. Soc,23, No. 1, 190–192 (1969).

    Google Scholar 

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Authors
  1. I. B. Bryskin
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  2. A. A. Sedaev
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 39, pp. 7–16, 1974.

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Bryskin, I.B., Sedaev, A.A. Geometric properties of the unit ball in Hardy-type spaces. J Math Sci 8, 1–9 (1977). https://doi.org/10.1007/BF01455319

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