A remark on Plancherel's theorem for Banach space valued functions

Stephen Vági

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1969)

  • Volume: 23, Issue: 2, page 305-315
  • ISSN: 0391-173X

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Vági, Stephen. "A remark on Plancherel's theorem for Banach space valued functions." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.2 (1969): 305-315. <http://eudml.org/doc/83491>.

@article{Vági1969,
author = {Vági, Stephen},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {functional analysis},
language = {eng},
number = {2},
pages = {305-315},
publisher = {Scuola normale superiore},
title = {A remark on Plancherel's theorem for Banach space valued functions},
url = {http://eudml.org/doc/83491},
volume = {23},
year = {1969},
}

TY - JOUR
AU - Vági, Stephen
TI - A remark on Plancherel's theorem for Banach space valued functions
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1969
PB - Scuola normale superiore
VL - 23
IS - 2
SP - 305
EP - 315
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/83491
ER -

References

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  1. [0] S. Banach, Théorie des opérations linéaires, Warsaw1932. Zbl0005.20901
  2. [1] A. Benedek, A.P. Calderón and R. Panzone, Convolution operators on Banach space valued functions, Proc. Nat. Acad. Sci., U.S.A.48, No. 3 (1962), 356-365. Zbl0103.33402MR133653
  3. [2] M.M. Day, Normed linear spaces, Springer Verlag, Berlin, 1958. Zbl0082.10603MR94675
  4. [3] N. Dunford and J. Schwartz, Linear opetators, Part I, Interscience, New York, 1958. Zbl0084.10402
  5. [4] E. Hille, Functional analysis and semigroups, A. M. S. Colloquium Publication, XXXI, New York, 1948. Zbl0033.06501
  6. [5] R.C. James, Bases aud reflexivity in Banach spaces, Ann. of Math. (2), 52 (1950), 518-527. Zbl0039.12202MR39915
  7. [6] L. Loomis, An introduction to abstract harmonic analysis, Van Nostrand, New York, 1953. Zbl0052.11701MR54173
  8. [7] M.A. Neumark, Operatorenalgebren im Hilbertschen Raum, in : Sowjetische Arbeiten Znr. Funktionalanalysis, Verlag Kultur und Fortschritt, Berlin, 1954. Zbl0058.10502MR62357
  9. [8] J.R. Retherford, On Čebyšev subspaces and unconditional bases in Banach spaces, Bull. A. M. S., 73 (1967), 238-241. Zbl0148.37103MR208342
  10. [9] J. Schawartz, A remark on inequalities of Calderón-Zygmuud type for vector valued functious, Comm. on Pure and Appl. Math., XIV (1961), 785-799. Zbl0106.08104MR143031
  11. [10] S. Vági, On multipliers and singular integrals in LP spaces of vector valued functions, Ph. D. Thesis, U. of Chicago1965. 
  12. [11] A. Zygmund, Trigonometric series, 2nd. Ed., Cambridge Univ. Press, New Vork, 1959. Zbl0085.05601MR107776
  13. [12] E.C. Titchmarsh, Introduction to the theory of Fourier integrals, 2nd. Ed., Oxford Univ. Press, 1948. 

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