Intermediate spaces and the complex method of interpolation for families of Banach spaces

Eugenio Hernández

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1986)

  • Volume: 13, Issue: 2, page 245-266
  • ISSN: 0391-173X

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Hernández, Eugenio. "Intermediate spaces and the complex method of interpolation for families of Banach spaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 13.2 (1986): 245-266. <http://eudml.org/doc/83979>.

@article{Hernández1986,
author = {Hernández, Eugenio},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {complex interpolation for families of Banach spaces; intermediate spaces of weighted spaces; Lorentz spaces; Sobolev and Besov-Lipschitz spaces},
language = {eng},
number = {2},
pages = {245-266},
publisher = {Scuola normale superiore},
title = {Intermediate spaces and the complex method of interpolation for families of Banach spaces},
url = {http://eudml.org/doc/83979},
volume = {13},
year = {1986},
}

TY - JOUR
AU - Hernández, Eugenio
TI - Intermediate spaces and the complex method of interpolation for families of Banach spaces
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1986
PB - Scuola normale superiore
VL - 13
IS - 2
SP - 245
EP - 266
LA - eng
KW - complex interpolation for families of Banach spaces; intermediate spaces of weighted spaces; Lorentz spaces; Sobolev and Besov-Lipschitz spaces
UR - http://eudml.org/doc/83979
ER -

References

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  1. [1] J. Berg - J. Löfström, Interpolation Spaces. An Introduction, Grundlehren der matematischen Wissenschaften, 223, Springer Verlag, Berlin-Heidelberg-New York, 1976. Zbl0344.46071MR482275
  2. [2] A.P. Calderón, Intermediate spaces and interpolation, the complex method, Studia Math., 24 (1964), pp. 113-190. Zbl0204.13703MR167830
  3. [3] R. Coifman - M. Cwikel - R. Rochberg - Y. Sagher - G. Weiss, A theory of complex interpolation for families of Banach spaces, Adv. in Math., 43 (1982), pp. 203-229. Zbl0501.46065MR648799
  4. [4] R. Coifman - M. Cwikel - R. Rochberg - Y. Sagher - G. Weiss, Complex interpolation for families of Banach spaces, in « Proceedings, Symposia in Pure Mathematics », Vol. 35, Part 2, pp. 269-282, Amer. Math. Soc., Providence, R.I., 1979. Zbl0422.46032MR545314
  5. [5] P.L. Duren, Theory of Hp spaces, Academic Press, New York-London, 1970. Zbl0215.20203MR268655
  6. [6] E. Hernández, Topics in complex interpolation, Ph. D. Dissertation, Washington University, St. Louis, Missouri, December 1981. 
  7. [7] G.H. Hardy - J.E. Littlewood - G. Polya, Inequalities, University Press, Cambridge, 1934. JFM60.0169.01
  8. [8] R.A. Hunt, On L(p, q) spaces, L'Ens. Math., 12 (1966), pp. 249-276. Zbl0181.40301MR223874
  9. [9] R. O'Neil - G. Weiss, The Hilbert transform and rearrangement of functions, Studia Math., 23 (1963), pp. 189-198. Zbl0118.09901MR160084
  10. [10] E.M. Stein - G. Weiss, On the interpolation of analytic families of operators acting on Hp spaces, Tôhuku Math. J., 8 (1957), pp. 318-339. Zbl0083.34201MR94704
  11. [11] E.M. Stein - G. Weiss, Interpolation of operators with change of measures, Trans. Amer. Math. Soc., 87 (1958), pp. 159-172. Zbl0083.34301MR92943
  12. [12] M.H. Taibleson, On the theory of Lipschitz spaces of distributions in Euclidean n-space. I. Principal properties, J. Math. Mech., 13 (1964), pp. 407-479. Zbl0132.09402MR163159
  13. [13] H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, North Holland, Amsterdam-New York-Oxford, 1978. Zbl0387.46032MR503903

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