Multilinear weak type interpolation of m n-tuples with applications
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This article is published in Studia Mathematica.The article was published on 1977-01-01 and is currently open access. It has received 9 citations till now. The article focuses on the topics: Multilinear map & Interpolation.read more
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Journal ArticleDOI
Some remarks on multilinear maps and interpolation
Loukas Grafakos,Nigel J. Kalton +1 more
TL;DR: A multilinear version of the Boyd interpolation theorem is proved in the context of quasi-normed rearrangement-invariant spaces in this paper, where a multinear Marcinkiewicz interpolation is obtained as a corollary.
Journal ArticleDOI
Weak interpolation in Banach spaces
TL;DR: In this article, a generalized weak type interpolation theory for arbitrary Banach spaces was developed by combining the Peetre functionalization with the maximal operators of Calderon [15].
Journal ArticleDOI
The multilinear Marcinkiewicz interpolation theorem revisited: The behavior of the constant
TL;DR: In this paper, a self-contained proof of the multilinear extension of the Marcinkiewicz real method interpolation theorem with initial assumptions a set of restricted weak type estimates, considering possible degenerate situations that may arise.
Journal ArticleDOI
Real Interpolation of Compact Bilinear Operators
TL;DR: In this paper, the authors established an analog for bilinear operators of the compactness interpolation result for bounded linear operators proved by Cwikel and Cobos, Kuhn and Schonbek.
Book ChapterDOI
Weak-Type Inequalities in Analysis
Colin Bennett,Robert Sharpley +1 more
TL;DR: A survey of recent extensions of the Marcinkiewicz interpolation theorem due to C. Bennett, K. Rudnick and R. Sharpley can be found in this article.