The strip problem for Lp functions

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Abstract

Let C be a strictly convex curve in the complex plane whose horizontal translates Ct fill up a strip S ⊆ C. For certain C which are perturbations of an ellipse, we prove that for f in a weighted Lp class on S with p > 2, if f has a holomorphic extension from almost every Ct, then f is holomorphic. The construction works for curves C with no horizontal or vertical symmetry.

Original languageEnglish
Article number1550095
JournalInternational Journal of Mathematics
Volume26
Issue number11
DOIs
Publication statusPublished - Oct 1 2015

Keywords

  • Analytic continuation
  • CR extension

ASJC Scopus subject areas

  • Mathematics(all)

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