Sharp quantitative integral inequalities for harmonic extensions

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE 2026 Open access

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Authors: Rupert L. Frank, Jonas W. Peteranderl, Larry Read
DOI: 10.2422/2036-2145.202509_009
Cited by: 0

Abstract

We prove a quantitative version of a sharp integral inequality by Hang, Wang, and Yan for both the Poisson operator and its adjoint.Our result has the strongest possible norm and the optimal stability exponent.This stability exponent is not necessarily equal to 2, displaying the same phenomenon that Figalli and Zhang observed for the p-Sobolev inequality.

Fields of Study & Subjects

Advanced Harmonic Analysis Research Nonlinear Partial Differential Equations Numerical methods in inverse problems

Publication details

Journal / source
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
Publisher
Scuola Normale Superiore - Edizioni della Normale
Pages
39–39
Publication date
26 June 2026
Language
EN