Abstract
This paper is devoted to the study of noncommutative maximal operators with rough kernels. More precisely, we prove the weak-type (1, 1) boundedness for noncommutative maximal operators with rough kernels. The proof of the weak-type (1, 1) estimate is based on the noncommutative Calderon–Zygmund decomposition. To deal with the rough kernel, we use the microlocal decomposition in the proofs of both the bad and good functions.
| Original language | English |
|---|---|
| Pages (from-to) | 1439-1471 |
| Number of pages | 33 |
| Journal | Analysis and PDE |
| Volume | 17 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2024 |
Keywords
- 1) bound
- maximal operator
- noncommutative L p space
- rough kernel
- singular integral operator
- weak (1
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