Bounds on Riesz Means of the Eigenvalues for Baouendi–Grushin Type Operators

The aim of this paper is to consider spectral inequalities of a class of Baouendi–Grushin type operators in cylinders. Such operators are hypoelliptic and we obtain non‐Weyl type inequalities depending on the rate of the degeneracy. We also give an example where all eigenvalues and eigenfunctions are computed explicitly.

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Journal
International Journal of Mathematics and Mathematical Sciences
Published
2025-01-01
DOI
https://doi.org/10.1155/ijmm/9959220
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
0.00

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article

Bounds on Riesz Means of the Eigenvalues for Baouendi–Grushin Type Operators

Ари Лаптев, A. Aljahili
International Journal of Mathematics and Mathematical Sciences
Advanced Harmonic Analysis Research
article

Bounds on Riesz Means of the Eigenvalues for Baouendi–Grushin Type Operators

Ари Лаптев, A. Aljahili
article en

Abstract

The aim of this paper is to consider spectral inequalities of a class of Baouendi–Grushin type operators in cylinders. Such operators are hypoelliptic and we obtain non‐Weyl type inequalities depending on the rate of the degeneracy. We also give an example where all eigenvalues and eigenfunctions are computed explicitly.

International Journal of Mathematics and Mathematical SciencesVol. 2025(1)
University of Jeddah (SA), Imperial College London (GB)
Imperial College London, Ministry of Education – Kingdom of Saudi Arabi, University of Jeddah
Openalex Percentile: Top 71%
Advanced Harmonic Analysis Research
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