Lp theory for fractional gradient PDE with VMO coefficients

Armin Schikorra, Tien Tsan Shieh, Daniel Eli Spector

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


In this paper, we prove L p estimates for the fractional derivatives of solutions to elliptic fractional partial differential equations whose coefficients are VMO. In particular, our work extends the optimal regularity known in the second order elliptic setting to a spectrum of fractional order elliptic equations.

Original languageEnglish
Pages (from-to)433-443
Number of pages11
JournalAtti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni
Issue number4
StatePublished - 2015


  • Commutators
  • Fractional elliptic PDE
  • VMO coefficients


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