Measure density and extendability of Sobolev functions

By P. Hajłasz, Pekka Koskela, Heli Tuominen. 2008

72 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/14bc3ed7f1494157a8147a1ff9b7ef099024203a

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. L. Ihnatsyeva
2. T. Heikkinen
3. Yuan Zhou
4. Heli Tuominen
5. Dachun Yang
6. Luong Dang Ky
7. Wen Yuan

In Geometry and Topology

1. Yuan Zhou
2. L. Ihnatsyeva
3. T. Heikkinen
4. Heli Tuominen

Citations in the corpus

• Measure Density and Extension of Besov and Triebel–Lizorkin Functions (2014, methodology): “In a geodesic, Q-regular metric measure space, the measure density condition characterizes extension domains for M, 1 ≤ p < ∞, see [15].”
• Fractional Sobolev extension and imbedding (2014, methodology): “So the extension operator in [14,24] with the mean value does not work here.”