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Sharp estimates for the Jacobi and trigonometric Dunkl heat kernels
Abstract
We prove sharp both-sided estimates for the W-invariant trigonometric Dunkl heat kernel in rank one case, including root systems A1 and BC1. Consequently, we obtain sharp bounds for the non-compact Jacobi heat kernel in the full range of the type parameters.
Related
- Lp estimates for Dunkl--Schrödinger operators
- Martingale Transforms and Compensated Bellman Estimates for Dunkl Riesz Transforms
- Dimension free weak-type endpoint estimates for the vectors of the Dunkl--Riesz transform
- On Lipschitz Spaces, Semigroup Transference, and Heat Kernel Derivative Estimates in Dunkl--Schrödinger Analysis
- Failure of interior Lp estimates for nonlocal elliptic equations with continuous kernels
BibTeX
@misc{plewa2026sharp,
title = {{Sharp estimates for the Jacobi and trigonometric Dunkl heat kernels}},
author = {Paweł Plewa},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.02576},
eprint = {2609.02576},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.02576},
}
RIS
TY - UNPB
TI - Sharp estimates for the Jacobi and trigonometric Dunkl heat kernels
AU - Paweł Plewa
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.02576
UR - https://arxiv.org/abs/2609.02576
AB - We prove sharp both-sided estimates for the W-invariant trigonometric Dunkl heat kernel in rank one case, including root systems A_1 and BC_1. Consequently, we obtain sharp bounds for the non-compact Jacobi heat kernel in the full range of the type parameters.
ER -