Normal families of BMO_loc-quasiregular mappings

Abstract

Given a function Q(z) of locally bounded mean oscillation in a Riemann surface X, we prove a normality criterion for a family of Q(z)-quasiregular mappings between two homeomorphic Riemann surfaces X, Y, normalized by the condition that the preimages of two given points be two fixed points. Several examples and counter-examples are included.

Keywords:

• BMO loc
• qr
• qc
• Riemann surface
• 2000 AMS Subject Classification: 30C62

Notes

E-mail: [email protected]

Additional information

Notes on contributors

Victoria Stanciu *

E-mail: [email protected]