Pacific Journal of Mathematics

Birnbaum-Orlicz spaces of functions on groups.

Iracema M. Bund

Article information

Source
Pacific J. Math., Volume 58, Number 2 (1975), 351-359.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102905666

Mathematical Reviews number (MathSciNet)
MR0385462

Zentralblatt MATH identifier
0304.43004

Subjects
Primary: 43A15: $L^p$-spaces and other function spaces on groups, semigroups, etc.

Citation

Bund, Iracema M. Birnbaum-Orlicz spaces of functions on groups. Pacific J. Math. 58 (1975), no. 2, 351--359. https://projecteuclid.org/euclid.pjm/1102905666


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References

  • [1] Z. W. Birnbaum, Uber Approximationim Mittel, Nachrichten von der Gesellschaft der Wissenschaften zu Gottingen, Fachgruppe I, Nr. 15, (1930), 338-343.
  • [2] Z. W. Birnbaum und W. Orlicz, Uber die Verallgemenerung des Begriffes der zueinander konjugierten Potenzen, Studia Math., 3 (1931), 1-67.
  • [3] I. M.Bund, Fourier Analysis on Birnbaum-Orlicz spaces, Dissertation, University of Washing- ton, 1973,unpublished.
  • [4] E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, Vol. I, Heidelberg, Springer-Verlag, Grundlehren der Math. Wiss., Band 115, 1963.
  • [5] E. Hewitt and K. A. Ross,Abstract Harmonic Analysis, Vol. II, Heidelberg, Springer-Verlag Grundlehren der Math. Wiss, Band 152, 1970.
  • [6] E. Hewitt and K. R. Stromberg, Real and Abstract Analysis, Heidelberg, Springer-Verlag, 1965.
  • [7] M.Jodeit Jr. and A. Torchinsky, Inequalities for Fourier transforms, Studia Math., T. XXXVII (1971), 245-276.
  • [8] M.A. Krasnoseskii and Ja. B. Rutickii, Convex functions and Orlicz spaces, Groningen (The Netherlands), transl. from Russian, 1961.
  • [9] G. Weiss, note on Orlicz spaces, Portugaliae Math., 15 (1956), 35-47.