Work

Classifying Triebel–Lizorkin Capacities in Metric Spaces

Year: 2025

Type: article

Abstract: We study nonlocal or fractional capacities in metric measure spaces. Our main goal is to clarify the relations between relative Hajłasz–Triebel–Lizorkin capacities, potentional Triebel–Lizorkin capacities, and metric space variants of Riesz capacities. As an application of our results, we obtain a characterization of a Hajłasz–Triebel–Lizorkin capacity density condition, which is based on an earlier characterization of a Riesz capacity density condition in terms of Hausdorff contents.

Source: Journal of Fourier Analysis and Applications

DOI: 10.1007/s00041-025-10147-w

Authors: Juha Lehrbäck, Kaushik Mohanta, Antti V. Vähäkangas

Institution: University of Jyväskylä

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Jyväskylän Yliopisto