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Cora Sadosky: Her Mathematics, Mentorship, and Professional Contributions Read chapter Read first chapter

2016 | OriginalPaper | Chapter

On the Preservation of Eccentricities of Monge–Ampère Sections

Author : Diego Maldonado

Published in: Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1)

Publisher: Springer International Publishing

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Abstract

A study on the preservation of eccentricities of Monge–Ampère sections under an integral Dini-type condition on the Monge–Ampère measure is presented. The approach is based solely on C 2, α -estimates for solutions to the Monge–Ampère equation. The main results are then related to the local quasi-conformal Jacobian problem and to a priori estimates for solutions to the linearized Monge–Ampère equation.

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previous chapter Hardy Spaces of Holomorphic Functions for Domains in ℂ n with Minimal Smoothness
next chapter BMO: Oscillations, Self-Improvement, Gagliardo Coordinate Spaces, and Reverse Hardy Inequalities
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Metadata
Title
On the Preservation of Eccentricities of Monge–Ampère Sections
Author
Diego Maldonado
Copyright Year
2016
Book
Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1)

Print ISBN: 978-3-319-30959-0

Electronic ISBN: 978-3-319-30961-3

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-30961-3_12

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