A Bounded mean oscillation (BMO) theorem for small distorted diffeomorphisms from \mathbb R^D to \mathbb R^D and PDE

2021/11/05 by Charles Fefferman, Fefferman, C., Steven B. Damelin +1
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2111.03588

openalex publication_date 2021/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This announcement considers the following problem. We produce a bounded mean oscillation theorem for small distorted diffeomorphisms from \mathbb R^D to \mathbb R^D. A revision of this announcement is in the memoir preprint: arXiv:2103.09748, [1], submitted for consideration for publication.

Citations

• On the Whitney near extension problem, BMO, alignment of data, best approximation in algebraic geometry, manifold learning and their beautiful connections: A modern treatment
• On functions of bounded mean oscillation
• Hp spaces of several variables

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