Restricted weak type versus weak type

Author:

Grafakos Loukas,Mastyło Mieczysław

Abstract

We prove that translation invariant multilinear operators of restricted weak type ( 1 , 1 , , 1 , q ) (1,1,\dots , 1,q) must necessarily be of weak type ( 1 , 1 , , 1 , q ) (1,1,\dots , 1,q) . We give applications.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference4 articles.

1. [BG] D. Bilyk and L. Grafakos, Interplay between distributional estimates and boundedness of operators, submitted.

2. Multilinear Calderón-Zygmund theory;Grafakos, Loukas;Adv. Math.,2002

3. On restricted weak type (1,1);Moon, K. H.;Proc. Amer. Math. Soc.,1974

4. An extension of a theorem of Marcinkiewicz and some of its applications;Stein, E. M.;J. Math. Mech.,1959

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