Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896598 | Journal of Functional Analysis | 2018 | 38 Pages |
Abstract
The “noncommutativity” and the “multi-parameter” characters induce some difficulties in the proofs. For instance, our argument of proving the uniform convergence for a dense subset turns out to be quite different from the classical case since the “pointwise” argument does not work in the noncommutative setting; also to obtain the uniform convergence in the largest spaces, we need a maximal inequality between the Orlicz spaces, but it cannot be deduced by using classical extrapolation argument directly. Junge and Xu's noncommutative maximal inequalities with the optimal order, together with the atomic decomposition of Orlicz spaces, play the essential role in overcoming the second difficulty.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Guixiang Hong, Mu Sun,