Name
Abstract | ||
|---|---|---|
We prove the L-p Poincare inequalities with constant C root p for 1-cocycles on countable discrete groups under Bakry-Emery's Gamma(2)-criterion. These inequalities determine an analog of subgaussian behavior for 1-cocycles. Our theorem improves some of our previous results in this direction, and in particular implies Efraim and Lust-Piquard's Poincare-type inequalities for the Walsh system. The key new ingredient in our proof is a decoupling argument. As complementary results, we also show that the spectral gap inequality implies the L-p Poincare inequalities with constant Cp under some conditions in the noncommutative setting. New examples which satisfy the Gamma(2)-criterion are provided as well. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1112/jlms/jdv025 | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES |
Field | DocType | Volume |
Topology,Noncommutative geometry,Countable set,Mathematical analysis,Decoupling (cosmology),Spectral gap,Walsh function,Mathematics | Journal | 92.0 |
Issue | ISSN | Citations |
2 | 0024-6107 | 0 |
PageRank | References | Authors |
0.34 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Marius Junge | 1 | 61 | 5.31 |
| Zeng Qiang | 2 | 34 | 10.73 |