Generators of Certain Function Banach Algebras and Related Questions

GÜRDAL M. , YAMANCI U. , SALTAN S.

International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Kos, Greece, 19 - 25 September 2012, vol.1479, pp.954-956 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1479
  • Doi Number: 10.1063/1.4756301
  • City: Kos
  • Country: Greece
  • Page Numbers: pp.954-956

Abstract

We study the structure of generators of the Banach algebras (W-p((n)) [0,1],*) and (W-p((n)) [0,1], circle star), where * denotes the usual convolution and circle star the so-called Duhamel product. We also give a new characterization of a special class of composition operators acting in the Sobolev space W-p((n)) [0,1] by the formula (C-theta f) (x) = f (theta (x)).