The strip problem for Lp functions

Mark G. Lawrence

    Research output: Contribution to journalArticle

    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

    Fingerprint

    Strip
    Horizontal
    Holomorphic Extension
    Convex Curve
    Ellipse
    Strictly Convex
    Argand diagram
    Vertical
    Perturbation
    Symmetry
    Curve
    Class

    Keywords

    • Analytic continuation
    • CR extension

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    The strip problem for Lp functions. / Lawrence, Mark G.

    In: International Journal of Mathematics, Vol. 26, No. 11, 1550095, 01.10.2015.

    Research output: Contribution to journalArticle

    Lawrence, Mark G. / The strip problem for Lp functions. In: International Journal of Mathematics. 2015 ; Vol. 26, No. 11.
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