Noncommutative differential transforms for averaging operators

arXiv (Cornell University)（2023）

Cited 0|Views0

No score

Abstract

. In this paper, we complete the study of mapping properties for a family of operators evaluating the difference between differentiation operators and conditional expectations acting on noncommutative Lp-spaces. To be more precise, we establish the weak type (1,1) and (L & INFIN;, BMO) estimates of this difference. Consequently, in conjunction with interpolation and duality, we obtain all strong type (p, p) estimates. This allows us to obtain a quick application to noncommutative differential transforms for averaging operators.

Translated text

Key words

Calderon-Zygmund decomposition,noncommutative Lp-spaces,dif-ferential transforms,noncommutative martingales,weak (1,1)

AI Read Science

Must-Reading Tree

Example

Generate MRT to find the research sequence of this paper

Chat Paper

Summary is being generated by the instructions you defined