Abstract
We give a new streamlined proof of a recent result by Totik concerning the local Holder 1/2 property of the Green function for the complement of a Cantor-type set taken with respect to the extended complex plane. To simplify the proof we find certain families of curves and estimate their moduli. In addition, we extend Totik's theorem to more general Cantor-type sets.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
