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On Sobolev spaces for the Grushin operator

Year: 2026

Type: preprint

Abstract: We define Sobolev spaces associated with the Grushin operator with or without drift. We study some of their norm equivalences and establish embedding and algebra properties. We also prove the boundedness of the Riesz transforms on these spaces.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.09358

Authors: Garg, Nishta, Garg, Rahul

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Arthritis National Research Foundation, Indian Institute of Science, National Research Foundation, Indian Institute of Science Education and Research Mohali

OpenAlex ID: W7202176544

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