CrossRef Open Access 2002 67 sitasi

The co-area formula for Sobolev mappings

Jan Malý David Swanson William Ziemer

Abstrak

We extend Federer’s co-area formula to mappings f f belonging to the Sobolev class W 1 , p ( R n ; R m ) W^{1,p}(\mathbb {R}^n;\mathbb {R}^m) , 1 ≤ m > n 1 \le m > n , p > m p>m , and more generally, to mappings with gradient in the Lorentz space L m , 1 ( R n ) L^{m,1}(\mathbb {R}^n) . This is accomplished by showing that the graph of f f in R n + m \mathbb {R}^{n+m} is a Hausdorff n n -rectifiable set.

Penulis (3)

Jan Malý

David Swanson

William Ziemer

Format Sitasi

APA MLA BibTeX

Malý, J., Swanson, D., Ziemer, W. (2002). The co-area formula for Sobolev mappings. https://doi.org/10.1090/s0002-9947-02-03091-x

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Informasi Jurnal

Tahun Terbit: 2002
Bahasa: en
Total Sitasi: 67×
Sumber Database: CrossRef
DOI: 10.1090/s0002-9947-02-03091-x
Akses: Open Access ✓