Work

Dimension-free Maz’ya–Shaposhnikova limiting formulas in Grushin spaces

Year: 2025

Type: article

Abstract: Motivated by the paper [Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XXIII (2022) 837–875], we provide a simplified and robust proof of the dimension-free Maz’ya–Shaposhnikova limiting formula for seminorms associated with the Baouendi–Grushin operator. This operator, which is generally non-hypoelliptic, arises frequently in the study of Carnot–Carathéodory spaces. Our approach not only streamlines the original argument but also extends a recent result from [arXiv:2401.03409].

Source: Rendiconti Lincei Matematica e Applicazioni

DOI: 10.4171/rlm/1054

Authors: Huaiqian Li, Ke Wang

Institution: Tianjin University

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410105938

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