Some techniques for the characterization of intermediate spaces

Anita Tabacco Vignati

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1990)

  • Volume: 17, Issue: 3, page 323-341
  • ISSN: 0391-173X

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Tabacco Vignati, Anita. "Some techniques for the characterization of intermediate spaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 17.3 (1990): 323-341. <http://eudml.org/doc/84076>.

@article{TabaccoVignati1990,
author = {Tabacco Vignati, Anita},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {interpolation of analytic families of spaces; quasi-Banach spaces; spaces whose quasi-norms are defined by the norm of a sublinear operator},
language = {eng},
number = {3},
pages = {323-341},
publisher = {Scuola normale superiore},
title = {Some techniques for the characterization of intermediate spaces},
url = {http://eudml.org/doc/84076},
volume = {17},
year = {1990},
}

TY - JOUR
AU - Tabacco Vignati, Anita
TI - Some techniques for the characterization of intermediate spaces
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1990
PB - Scuola normale superiore
VL - 17
IS - 3
SP - 323
EP - 341
LA - eng
KW - interpolation of analytic families of spaces; quasi-Banach spaces; spaces whose quasi-norms are defined by the norm of a sublinear operator
UR - http://eudml.org/doc/84076
ER -

References

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  1. [Aup] B. Aupetit, Properties spectrales des algebres de Banach, Lecture Notes in Math. 735, Springer Verlag, Berlin/ New York, 1979. Zbl0409.46054MR549769
  2. [BL] J. Bergh - J. Löfström, Interpolation spaces: an introduction, Springer Verlag, Berlin/ Heidelberg/New York, 1976. Zbl0344.46071MR482275
  3. [CT 1] A.P. Calderon - A. Torchinski, Parabolic maximal functions associated with a distribution I, Advances in Math.16 (1975), 1-64. Zbl0315.46037MR417687
  4. [CT 2] A.P. Calderon - A. Torchinski, Parabolic maximal functions associated with a distribution II, Advances in Math.24 (1977), 101-171. Zbl0355.46021MR450888
  5. [CCRSW 1] R. Coifman - M. Cwikel - R. Rochberg - Y. Sagher - G. Weiss, The complex method for interpolation of operators acting on families of Banach spaces, Lecture Notes in Math. 779, Springer Verlag, Berlin/Heidelberg /New York (1980), 123-153. Zbl0427.46049
  6. [CCRSW 2] R. Coifman - M. Cwikel - R. Rochberg - Y. Sagher - G. Weiss, A theory of complex interpolation for families of Banach spaces, Advances in Math.33 (1982), 203-229. Zbl0501.46065
  7. [CMS] M. Cwickel - M. Milman - Y. Sagher, Complex interpolation of some quasi-Banach spaces, J. Funct. Anal.65 (1986), 339-347. Zbl0586.46054
  8. [Dur] P.L. Duren, Theory of Hp spaces, Academic Press, New York and London, 1970. Zbl0215.20203
  9. [FRS] C. Fefferman - N. Riviere - Y. Sagher, Interpolation between HP spaces, the real method, Trans. Amer. Math. Soc.191 (1974), 75-81. Zbl0285.41006
  10. [Her] E. Hernandez, A relation between two interpolation methods, Lecture Notes in Math.1070 (1984), 80-91. Zbl0547.46050
  11. [T-V 1] A. Tabacco Vignati, Ph.D. Dissertation, Washington Univ., St. Louis1986. 
  12. [T-V 2] A. Tabacco Vignati, Complex interpolation for families of quasi-Banach spaces, Indiana Univ. Math. J.37 (1988), 1-21. Zbl0628.46071

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