Restriction spaces of
Dietmar Vogt
Bergische Universität Wuppertal, Germany
![Restriction spaces of $A^\infty$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-30-issue-1.png&w=3840&q=90)
Abstract
In the present paper it is shown that for certain totally disconnected Carleson sets the restriction space has a basis. Its isomorphism type is determined. The result disproves a claim of S. R. Patel in [12]. To prove our result we analyze restriction spaces and then, using a result of Alexander, Taylor and Williams, we show that . Among our examples there are the classical Cantor set and sets of type , where is a null sequence in with certain properties.
Cite this article
Dietmar Vogt, Restriction spaces of . Rev. Mat. Iberoam. 30 (2014), no. 1, pp. 65–78
DOI 10.4171/RMI/769