Philippine E-Journals

Bounded Mean Oscillation on Regular Riemann Surfaces

Leonor Aquino-ruivivar

Discipline: Mathematics, Education

 

Abstract:

This paper gives characterizations for the space BMOH of harmonic functions of bounded mean oscillation on regular hyperbolic Riemann surfaces. The John-Nirenberg type of characterization given in [5] is simplified when the Riemann surface is regular.