Local $Tb$ theorems in non-homogeneous metric spaces, and applications to caloric measure

Year: 2026

Type: preprint

Abstract: We prove a local $Tb$ theorem with testing conditions on metric balls, for possibly non-doubling measures of polynomial growth on geometrically doubling metric spaces. It resolves the maximal-truncation version of Hofmann's local $Tb$ problem for all $1

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.40135

Authors: Merlo, Andrea, Mourgoglou, Mihalis, Puliatti, Carmelo

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Ciencia, Innovación y Universidades, Erwin Schrödinger International Institute for Mathematics and Physics, Eusko Jaurlaritza, Agencia Estatal de Investigación

OpenAlex ID: W7224904230