Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590558 | Journal of Functional Analysis | 2014 | 20 Pages |
Abstract
Using Rademacher type, maximal estimates are established for k-sublinear operators with values in the space of measurable functions. Maurey–Nikishin factorization implies that such operators factor through a weak-type Lebesgue space. This extends known results for sublinear operators and improves some results for bilinear operators. For example, any continuous bilinear operator from a product of type 2 spaces into the space of measurable functions factors through a Banach space. Also included are applications for multilinear translation invariant operators.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Geoff Diestel,