arXiv Open Access 2025

The refined area formula for Sobolev mappings $W^{k,p}$

Paz Hashash

Lihat Sumber

Abstrak

We establish the area formula for change-of-variable mappings in the Sobolev space $W^{k,p}_{\text{loc}}$. Our approach relies on constructing Lipschitz approximations of Sobolev functions that agree with the original functions outside a set of Riesz capacity zero.

Topik & Kata Kunci

math.AP

Penulis (1)

Paz Hashash

Format Sitasi

APA MLA BibTeX

Hashash, P. (2025). The refined area formula for Sobolev mappings $W^{k,p}$. https://arxiv.org/abs/2508.03880

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓