Local $Tb$ theorems in non-homogeneous metric spaces, and applications to caloric measure
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
Authors
- Mihalis Mourgoglou (ORCID: https://orcid.org/0000-0002-9634-6713)
- Carmelo Puliatti (ORCID: https://orcid.org/0000-0002-3955-8146)
- Andrea Merlo (ORCID: https://orcid.org/0000-0003-4175-619X)
Publication Details
- Journal
- arXiv (Cornell University)
- Published
- 2026-10-29
- DOI
- https://doi.org/10.48550/arxiv.2610.40135
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- preprint