Abstract
We consider the class of functions that are analytic in the domain G={z=x+iy:|z| (−x)β for −1 1, and satisfy the Holder condition with exponent α in the closure Λaα(G) of the domain G with interior cusps. As is proved, a nontangent set E condensed to the point O is an interpolation set for the pair of spaces Λaα(G), Λαβ(E) if and only if the set E is sparse. Thus, an increase in smoothness occurs in the trace space. Bibliography: 5 titles.
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.
