Trace Operators in Besov and Triebel–Lizorkin Spaces

  • Cornelia Schneider

    Universidade de Coimbra, Portugal

Abstract

We determine the trace of Besov spaces and Triebel–Lizorkin spaces – characterized via atomic decompositions – on hyperplanes , , for parameters and . The limiting case is investigated as well. Our results remain valid considering the classical spaces , – defined via differences. Finally, we include some density assertions, which imply that the trace does not exist when .

Cite this article

Cornelia Schneider, Trace Operators in Besov and Triebel–Lizorkin Spaces. Z. Anal. Anwend. 29 (2010), no. 3, pp. 275–302

DOI 10.4171/ZAA/1409