arXiv
Open Access
2024
Riesz capacity: monotonicity, continuity, diameter and volume
Carrie Clark
Richard S. Laugesen
Abstrak
Properties of Riesz capacity are developed with respect to the kernel exponent $p \in (-\infty,n)$, namely that capacity is monotonic as a function of $p$, that its endpoint limits recover the diameter and volume of the set, and that capacity is left-continuous with respect to $p$ and is right-continuous provided (when $p \geq 0$) that an additional hypothesis holds. Left and right continuity properties of the equilibrium measure are obtained too.
Topik & Kata Kunci
Penulis (2)
C
Carrie Clark
R
Richard S. Laugesen
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2024
- Bahasa
- en
- Sumber Database
- arXiv
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- Open Access ✓