Sobolev extension in a simple case

Marjorie Drake, Charles Fefferman, Kevin Ren, Anna Skorobogatova

Research output: Contribution to journalArticlepeer-review


In this paper, we establish the existence of a bounded, linear extension operator T: L2, p (E) → L2, p (R2) when 1 < p < 2 and E is a finite subset of R2 contained in a line.

Original languageEnglish (US)
JournalAdvanced Nonlinear Studies
StateAccepted/In press - 2024

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • General Mathematics


  • Calderón-Zygmund decomposition
  • linear extension
  • Sobolev extension
  • Whitney extension


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