We provide a new characterization of homogeneous Besov and Sobolev spaces in Carnot groups using the fractional heat kernel and Poisson kernel. We apply our results to study commutators involving fractional powers of the sub-Laplacian.
Function spaces via fractional Poisson kernel on Carnot groups and applications / Maalaoui, A.; Pinamonti, A.; Speight, G.. - In: JOURNAL D'ANALYSE MATHEMATIQUE. - ISSN 0021-7670. - 149:2(2023), pp. 485-527. [10.1007/s11854-022-0255-y]
Function spaces via fractional Poisson kernel on Carnot groups and applications
Pinamonti A.;Speight G.
2023-01-01
Abstract
We provide a new characterization of homogeneous Besov and Sobolev spaces in Carnot groups using the fractional heat kernel and Poisson kernel. We apply our results to study commutators involving fractional powers of the sub-Laplacian.File in questo prodotto:
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