Hankel operators

Official URL: https://risc01.sabanciuniv.edu/record=b2770330_(Table of contents)

Analytical problems are not solvable on a general domain in Cd when d ≥ 2. It has been shown that in domains such as strongly psuedoconvex domains, finite type domains, bounded symmetric domains and convex domain some analytical problems are tractable. A common feature of these domains is that the Bergman metric has bouded geometry on them. This led to the definition of the domains with bounded intrinsic geometry which are introduced to the literature in the quest for the most general type of domain on which one can solve analytical problems. They include many of the well-known domains investigated in the literature including the aforementioned ones. Here in this thesis we made a review of conditions of compactness of Hankel operator on them.