2016/11/19 by Mehmet Çelik, Çelik, Mehmet, Yunus E. Zeytuncu +1
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #math.CV #math.FA
paper · pdf · doi:10.48550/arxiv.1611.06377
To appear in the Illinois Journal of Mathematics
arxiv created 2016/11/19 · arxiv updated 2016/11/22
We establish a connection between compactness of Hankel operators and geometry of the underlying domain through compactness multipliers for the ∂-Neumann operator. In particular, we prove that any compactness multiplier induces a compact Hankel operator. We also generalize the notion of compactness multipliers to vector fields and matrices and then we use this generalization to generate compact Hankel operators.