Homogeneous subsets of a Lipschitz graph and the Corona Theorem

B. M. Newdelman
2011 Publicacions matemàtiques  
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 a Carleson lower density: Λ (B(z, r) ∩ E 0 ) > ǫ 0 r for all z ∈ E 0 , and all r > 0. 2000 Mathematics Subject Classification. 30-XX.
doi:10.5565/publmat_55111_05 fatcat:2z3em7vdmzci3geemhbij6dzhe