A good universal weight for multiple recurrence averages with commuting transformations in norm
Year: 2015
Type: preprint
Abstract: We will show that the sequences appearing in Bourgain's double recurrence result are good universal weights to the multiple recurrence averages with commuting measure-preserving transformations in norm. This will extend the pointwise converge result of Bourgain, the norm convergence result of Tao, and the authors' previous work on the single measure-preserving transformation.
Source: arXiv (Cornell University)
Authors: Assani, Idris, Moore, Ryo
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2262197321