Work

Infinite intersections of doubling measures, weights, and function classes

Year: 2026

Type: article

Abstract: A series of long-standing questions in harmonic analysis ask whether the intersection of all prime “ p -adic versions” of an object, such as a doubling measure or a Muckenhoupt or reverse Hölder weight, recovers the full object. Investigation into these questions was reinvigorated in 2019 by work of Boylan–Mills–Ward, culminating in showing that this recovery fails for a finite intersection in work of Anderson–Bellah–Markman–Pollard–Zeitlin. Via generalizing a new number theoretic construction therein, we answer these questions.

Source: Research in the Mathematical Sciences

DOI: 10.1007/s40687-026-00612-3

Authors: Theresa C. Anderson, David Philips, Anastasiia Rudenko, Kevin You

Institutions: Carnegie Mellon University, University of Pittsburgh

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,090

Funder: National Science Foundation