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On Besov and Triebel-Lizorkin spaces associated with the Grushin operator
Abstract
In this article, we define classical and non-classical Besov and Triebel--Lizorkin spaces associated with the Grushin operator with or without drift. We establish various characterisations of these spaces, and study their complex interpolation, embedding properties, and fractional Leibniz rules.
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BibTeX
@misc{bagchi2026besov,
title = {{On Besov and Triebel-Lizorkin spaces associated with the Grushin operator}},
author = {Sayan Bagchi and Nishta Garg and Rahul Garg},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.05940},
eprint = {2609.05940},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.05940},
}
RIS
TY - UNPB
TI - On Besov and Triebel-Lizorkin spaces associated with the Grushin operator
AU - Sayan Bagchi
AU - Nishta Garg
AU - Rahul Garg
PY - 2026
DA - 2026/09/05
PB - arXiv
DO - 10.48550/arxiv.2609.05940
UR - https://arxiv.org/abs/2609.05940
AB - In this article, we define classical and non-classical Besov and Triebel--Lizorkin spaces associated with the Grushin operator with or without drift. We establish various characterisations of these spaces, and study their complex interpolation, embedding properties, and fractional Leibniz rules.
ER -