HOMOGENEOUS SUBSETS OF A LIPSCHITZ GRAPH AND THE CORONA THEOREM

作者：NewDelman Brady Max^*

来源：Publicacions Matematiques, 2011, 55(1): 93-121.

• Corona
• Harmonic
• Measure
• Homogeneous
• Lipschitz

This paper proves the Corona Theorem to be affirmative for domains in the complex plane bounded by thick subsets of a Lipschitz graph. Specifically, the boundary of these domains E(0) has Carleson lower density:
Lambda (B(z, r) boolean AND E(0)) > epsilon(0)r for all z is an element of E(0), and all r > 0.

• 出版日期2011