Some boundary properties of Cauchy type integral in terms of mean oscillation

Rzaev R. M., Imanova A. B.

WSEAS Transactions on Mathematics, vol.11, no.2, pp.135-145, 2012 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 2
  • Publication Date: 2012
  • Journal Name: WSEAS Transactions on Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.135-145
  • Keywords: Boundary values, Cauchy type integral, Mean oscillation, Poisson integral, Singular integrals
  • Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

In this paper radial boundary values of Cauchy type integral are investigated when conditions on integral density are set in terms of mean oscillation of functions. Corresponding statements about boundary values of Poisson integral and conjugate Poisson integral are proved.