No CrossRef data available.
Article contents
An Extension of Nikishin’s Factorization Theorem
Published online by Cambridge University Press: 20 November 2018
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
A Nikishin–Maurey characterization is given for bounded subsets of weak-type Lebesgue spaces. New factorizations for linear and multilinear operators are shown to follow.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2017
References
[1]
Albiac, F. and Kalton, N., Topics in Banach space theory. Graduate Texts in Mathematics, 233. Springer, New York, 2006.Google Scholar
[2]
Diestel, G., Factoring multi-sublinear maps
J. Funct. Anal.
266(2014), no. 4,1928-1947. http://dx.doi.Org/10.101 6/j.jfa.2O13.12.010
Google Scholar
[3]
Grafakos, L., Classical Fourier analysis. 2nd edition. Graduate Texts in Mathematics, 249. Springer, New York, 2008.Google Scholar
[4]
Johnson, W. B. and Lindenstrauss, J., eds. Handbook of the Geometry of Banach Spaces, Vol. 1, North-Holland, Amsterdam, 2001.Google Scholar
[5]
Johnson, W. B. and Lindenstrauss, J., Handbook of the geometry of Banach spaces, Vol. 2. North-Holland, Amsterdam, 2001.Google Scholar
[6]
Kalton, N. J., Rademacher series and decoupling.
New York J. Math.
11(2005), 563–595.Google Scholar
[7]
Maurey, B., Théorèmes de factorisation pour les opérateurs linéaires à valeurs dans les espaces Lp. Astérisque, 11. Société Mathématique de France, Paris, 1974.Google Scholar
[8]
Nikishin, E. M., Resonance theorems and superlinear operators.
Uspekhi Mat. Nauk
25(1970), no. 6(156), 129–191. (Russian.Google Scholar
[9]
Pisier, G., Factorization of operators through Lp∞ or Lp\ and noncommutative generalizations.
Math. Ann.
276(1986), 105–136. http://dx.doi.Org/10.1007/BF01450929
Google Scholar
[10]
Wojtaszczyk, P., Banach spaces for analysts. Cambridge Studies in Advanced Mathematics, 25.Cambridge University Press, Cambridge, 1991. http://dx.doi.Org/!0.1017/CBO9780511608735
Google Scholar
You have
Access