Global Lorentz estimates for hypoelliptic operators with drift on homogeneous group

Yuexia Hou

doi:10.1117/12.2624848

13 December 2021 Global Lorentz estimates for hypoelliptic operators with drift on homogeneous group

Yuexia Hou

Proceedings Volume 12087, International Conference on Electronic Information Engineering and Computer Technology (EIECT 2021); 1208727 (2021) https://doi.org/10.1117/12.2624848
Event: International Conference on Electronic Information Engineering and Computer Technology (EIECT 2021), 2021, Kunming, China

Abstract

The hypoelliptic operators with drift appears in many research fields, for instance, mathematical finance theory, kinetics and models of human vision. In this paper, we establish the Lorentz boundedness of fractional integral operators on homogeneous group, then applying this result and the relevant properties of the fundamental solutions, we obtain global Lorentz estimates of hypoelliptic operators with drift. These estimates expand the regularity of operators generated by vector fields.

Citation Download Citation

Yuexia Hou "Global Lorentz estimates for hypoelliptic operators with drift on homogeneous group", Proc. SPIE 12087, International Conference on Electronic Information Engineering and Computer Technology (EIECT 2021), 1208727 (13 December 2021); https://doi.org/10.1117/12.2624848

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