Restriction spaces of

  • Dietmar Vogt

    Bergische Universität Wuppertal, Germany


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