PreprintCC BY-NC-ND 4.0HAL
Two pointwise estimates for singular integral operators over p-adic groups
Abstract
We establish some new pointwise boundedness properties for rough singular integral operators defined over p-adic groups. The properties of these operator rely essentially on the behavior of their rough kernels and we will present two different cases that fall outside the setting of the classical Calderón-Zygmund setting.
Related
- On a pointwise estimate for a weighted rough singular integral operator in stratified Lie groups and applications
- Endpoint estimates for commutators of singular integral operators associated with admissible functions
- Weak type (1,1) boundedness of noncommutative singular integral operators with rough kernels
- Essentially semi-commuting singular integral operators with Cauchy kernel on L2
- Multilinear rough singular integral operators may not be of the weak type at the endpoint
BibTeX
@misc{chamorro2026pointwise,
title = {{Two pointwise estimates for singular integral operators over p-adic groups}},
author = {Diego Chamorro},
howpublished = {HAL},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.26248},
eprint = {2610.26248},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05804554v1},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Two pointwise estimates for singular integral operators over p-adic groups
AU - Diego Chamorro
PY - 2026
DA - 2026/10/18
PB - HAL
DO - 10.48550/arxiv.2610.26248
UR - https://hal.science/hal-05804554v1
AB - We establish some new pointwise boundedness properties for rough singular integral operators defined over p-adic groups. The properties of these operator rely essentially on the behavior of their rough kernels and we will present two different cases that fall outside the setting of the classical Calderón-Zygmund setting.
ER -