The dual of weak L p

Michael Cwikel

Annales de l'institut Fourier (1975)

  • Volume: 25, Issue: 2, page 81-126
  • ISSN: 0373-0956

Abstract

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For 1 < p < ∞ , a characterization is given of the dual space of weak L p taken over a non atomic measure space.

How to cite

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Cwikel, Michael. "The dual of weak $L^p$." Annales de l'institut Fourier 25.2 (1975): 81-126. <http://eudml.org/doc/74233>.

@article{Cwikel1975,
abstract = {For $1&lt; p&lt; \infty $, a characterization is given of the dual space of weak $L^p$ taken over a non atomic measure space.},
author = {Cwikel, Michael},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {2},
pages = {81-126},
publisher = {Association des Annales de l'Institut Fourier},
title = {The dual of weak $L^p$},
url = {http://eudml.org/doc/74233},
volume = {25},
year = {1975},
}

TY - JOUR
AU - Cwikel, Michael
TI - The dual of weak $L^p$
JO - Annales de l'institut Fourier
PY - 1975
PB - Association des Annales de l'Institut Fourier
VL - 25
IS - 2
SP - 81
EP - 126
AB - For $1&lt; p&lt; \infty $, a characterization is given of the dual space of weak $L^p$ taken over a non atomic measure space.
LA - eng
UR - http://eudml.org/doc/74233
ER -

References

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  1. [1] E. BISHOP and R.R. PHELPS, A proof that every Banach space is subreflexive, Bull. Amer. Math. Soc., 67 (1961), 97-98. Zbl0098.07905
  2. [2] M. CWIKEL, On the conjugates of some function space, Studia Math., 45 (1973), 49-55. Zbl0098.07905MR23 #A503
  3. [3] M. CWIKEL, Some results in the Lions-Peetre interpolation theory, Thesis, Weizmann Institute of Science, 1973. Zbl0219.46026MR51 #6387
  4. [4] M. CWIKEL and Y. SAGHER, L(p, ∞)*, Indiana Univ. Math. J., 21 (1972), 781-786. 
  5. [5] N. DUNFORD and J.T. SCHWARTZ, Linear Operators, Part I : General Theory, Interscience, New York 1958. Zbl0244.46035MR45 #4139
  6. [6] R.A. HUNT, On L(p,q) spaces, L'Enseignement Math., 12 (1966), 249-276. Zbl0084.10402MR22 #8302
  7. [7] R.C. JAMES, Reflexivity and the sup of linear functionals, Israël J. Math., 13 (1972), 289-330. Zbl0181.40301MR36 #6921
  8. [8] B. MUCKENHOUPT, Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc., 165 (1972), 207-226. Zbl0252.46012MR49 #3506

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