For a domain bounded by homogeneous subsets of a Lipschitz graph, we show the
Corona Theorem is affirmative.Comment: 5 figure

NewDelman, Brady Max

English

arXiv

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 E0 has a Carleson lower density: ∧ ( B(z, r) ∩ E0) > є 0r for all z ∈ E0 and all r > 0

Newdelman, Brady Max

Diposit Digital de Documents de la UAB

Homogeneous subsets of a Lipschitz graph and the Corona Theorem

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 E0 has a Carleson lower density: ∧ ( B(z, r) ∩ E0) &gt; є 0r for all z ∈ E0 and all r &gt; 0

Revistes Catalanes amb Accés Obert

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 E0 has a Carleson lower density: Λ (B(z, r)  ∩ E0)&gt; 0r for all z ∈ E0, and all r&gt; 0

Brady Max Newdelman

CiteSeerX

HOMOGENEOUS SUBSETS OF A LIPSCHITZ GRAPH AND THE CORONA THEOREM

B. M. Newdelman

Crossref

Publicacions Matemàtiques

http://www.raco.cat/index.php/PublicacionsMatematiques/article/download/10.5565-PUBLMAT_55111_05/295286/

Homogeneous Subsets of a Lipschitz Graph and the Corona Theorem

Abstract

Similar works

Full text

Available Versions

Diposit Digital de Documents de la UAB

Revistes Catalanes amb Accés Obert

CiteSeerX

CiteSeerX

Crossref