Translation invariant operators on Lorentz spaces

Leonardo Colzani

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1987)

  • Volume: 14, Issue: 2, page 257-276
  • ISSN: 0391-173X

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Colzani, Leonardo. "Translation invariant operators on Lorentz spaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 14.2 (1987): 257-276. <http://eudml.org/doc/84006>.

@article{Colzani1987,
author = {Colzani, Leonardo},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {locally compact non compact group, equipped with left Haar measure; right translation invariant linear operator; Lorentz space; Bochner-Riesz means; Hardy-Lorentz space},
language = {eng},
number = {2},
pages = {257-276},
publisher = {Scuola normale superiore},
title = {Translation invariant operators on Lorentz spaces},
url = {http://eudml.org/doc/84006},
volume = {14},
year = {1987},
}

TY - JOUR
AU - Colzani, Leonardo
TI - Translation invariant operators on Lorentz spaces
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1987
PB - Scuola normale superiore
VL - 14
IS - 2
SP - 257
EP - 276
LA - eng
KW - locally compact non compact group, equipped with left Haar measure; right translation invariant linear operator; Lorentz space; Bochner-Riesz means; Hardy-Lorentz space
UR - http://eudml.org/doc/84006
ER -

References

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  1. [B-L] J. Bergh, J. Löfström.Interpolation spaces. Springer Verlag, Berlin, Heidelberg, New York, 1976. Zbl0344.46071MR482275
  2. [C-F] M. Cowling, J. Fournier, Inclusion and noninclusion of spaces of convolution operators. Trans. Am. Math. Soc.221 (1976), 59-95. Zbl0331.43007MR493164
  3. [F-R-S] C. Fefferman, N. Riviere, Y. Sagher.Interpolation of Hp spaces, the real method. Trans. Amer. Math. Soc.191 (1974), 75-82. Zbl0285.41006MR388072
  4. [F-S] C. Fefferman, E. Stein.Hp spaces of several variables. Acta Math.129 (1972), 137-193. Zbl0257.46078MR447953
  5. [GC-RF] J. Garcia-Cuerva, J.L. Rubio De Francia.Weighted norm inequalities and related topics. North Holland, Amsterdam, New York, Oxford, 1985. Zbl0578.46046MR807149
  6. [H] R. Hunt.On L(p, q) spaces. L'Ens. Math.12 (1966), 249-275. Zbl0181.40301MR223874
  7. [K] N. Kalton.Operators on Lp, 0 &lt; p &lt; 1. Trans. Amer. Math. Soc.259 (1980), 319-355. Zbl0439.46021MR567084
  8. [O] D. Oberlin.Translation invariant operators on Lp(G), 0 &lt; p &lt; 1. (I)Michigan Math. J.23 (1976), 119-122. (II) Can. J. Math.29 (1977), 226-230. Zbl0331.43006MR415210
  9. [P] Open problems presented at the first seminar Poland-GDR on operator ideals and geometry of Banach spaces. Forshungsgebnisse, 1982, N/82/27. 
  10. [Sa] S. Sawyer.Maximal inequalities of weak type. Ann. Math.84 (1966), 157-174. Zbl0186.20503MR209867
  11. [Sh] A.M. Shteinberg.On shift-invariant operators. Russian.Math. Surveys39 (1984), 215-216. Zbl0571.47022MR747807
  12. [S-T-W] E. Stein, M. Taibleson, G. Weiss.Weak type estimates for maximal operators on certain HP classes. Suppl. Rendiconti Circ. Mat.Palermo1 (1981), 81-97. Zbl0503.42018MR639468
  13. [S-W,1] E. Stein, G. Weiss.An extension of a theorem of Marcinkiewicz and some of its applications. J. Math. Mec.8 (1959), 263-284. Zbl0084.10801MR107163
  14. (S-W,2] E. Stein, G. Weiss.Introduction to Fourier analysis on Euclidean spaces. Princeton University Press, Princeton, 1971. Zbl0232.42007MR304972
  15. [Z] M. Zafran.Multiplier transformations of weak type. Ann. Math.101 (1975), 34-44. Zbl0293.43007MR370035

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