Yi-Ru-Ya Zhang

activity

20152026

most citedA density problem for Sobolev spaces on planar domains

10 citations · 21 across the 20 of their papers we have counts for

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math.CA2015★ 10 cited

A density problem for Sobolev spaces on planar domains

Pekka Koskela, Yi Ru-Ya Zhang

We prove that for a bounded simply connected domain $Ω \subset R^{2}$ , the Sobolev space $W^{1, \infty} (Ω)$ is dense in $W^{1, p} (Ω)$ for any $1 \leq p < \infty$ . Moreover, we s…

math.CA2015★ 4 cited

A geometric characterization of planar Sobolev extension domains

Pekka Koskela, Tapio Rajala, Yi Ru-Ya Zhang

We characterize bounded simply-connected planar $W^{1, p}$ -extension domains for $1 < p < 2$ as those bounded domains $Ω \subset R^{2}$ for which any two points $z_1,z_2 \in \ma…