Measurable differentiable structures and the Poincaré inequality

By S. Keith. 2004

57 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0f26a9d0f5324e33f8f6306bd8d8c31c0368fa1d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Marshall Williams
2. J. Heinonen
3. S. Keith
4. R. Korte
5. Bruce Kleiner
6. Dachun Yang
7. Anders Bjorn
8. P. Hajłasz

In Computational Theory and Mathematics

1. Marshall Williams
2. J. Heinonen
3. S. Keith

In Mathematical Physics

1. Marshall Williams
2. J. Heinonen
3. S. Keith
4. P. Auscher
5. A. Axelsson
6. A. Mcintosh

Citations in the corpus

• Lectures on Lipschitz analysis (2005, background): “Approximate derivatives for Sobolev functions in general spaces have been studied by Keith [37].”
• Geometric and analytic quasiconformality in metric measure spaces (2010, methodology): “For the case Z = R, the theorem was proved in [4] for locally Lipschitz functions, and later in [13] for Newton-Sobolev functions.”
• Modulus and the Poincaré inequality on metric measure spaces (2003, background): “This has been extensively studied, see [HKM93,HK95a,HK96,HK98,HK99,BMS01,HST01,Sha01, HKST01,KST01, Kei02 ].”