QUASI-CONFORMAL FUNCTIONS TENDING TO CONFORMALITY AT THE BOUNDARY,

Abstract

The purpose of this note is to show that the boundary correspondence induced by a quasi-conformal mapping is absolutely continuous and an analogue of Fatou's theorem is valid for quasi-conformal functions if one requires that the dilatation quotient in addition to being bounded tends to one sufficiently swiftly as the boundary is approached.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1960
Accession Number
AD0621219

Entities

People

  • D. A. Storvick

Organizations

  • University of Minnesota

Tags

DTIC Thesaurus Topics

  • Analogs
  • Boundaries
  • Cartography
  • Conformal Mapping

Fields of Study

  • Mathematics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Linear Algebra