arXiv Open Access 2024

Classifying Triebel-Lizorkin capacities in metric spaces

Juha Lehrbäck Kaushik Mohanta Antti V. Vähäkangas

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Abstrak

We study non-local or fractional capacities in metric measure spaces. Our main goal is to clarify the relations between relative Hajlasz-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 Hajlasz-Triebel-Lizorkin capacity density condition, which is based on an earlier characterization of a Riesz capacity density condition in terms of Hausdorff contents.

Topik & Kata Kunci

math.CA math.AP

Penulis (3)

Juha Lehrbäck

Kaushik Mohanta

Antti V. Vähäkangas

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APA MLA BibTeX

Lehrbäck, J., Mohanta, K., Vähäkangas, A.V. (2024). Classifying Triebel-Lizorkin capacities in metric spaces. https://arxiv.org/abs/2403.12513

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓