Interpolation between Sobolev and between Lipschitz spaces of analytic functions on starshaped domains Academic Article uri icon

abstract

  • We show that on a starshaped domain Ω in Cn (actually on a somewhat larger, biholomorphically invariant class) the .Lp Sobolev spaces of analytic functions form an interpolation scale for both the real and complex methods, for each p , 0 < p < ∞ . The case p = ∞ gives the Lipschitz scale; here the functor (,)[θ] has to be considered (rather than (,)[θ]). © 1989 American Mathematical Society.

author list (cited authors)

  • Straube, E. J.

citation count

  • 5

publication date

  • February 1989