Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 4 of 4 for “"Pseudoconvex Domain"”.
-
Diederich-Fornæss Index on Boundaries Containing Crescents
<p>The worm domain developed by Diederich and Fornæss is a classic example of a boundedpseudoconvex domains that fails to satisfy global regularity of the Bergman Projection, due to the set of weakly pseudoconvex points that form an annulus in its boundary. We instead examine a bounded pseudoconvex …
-
Hardy Space Properties of the Cauchy Kernel Function for a Strictly Convex Planar Domain
… Stout, where it is shown that for every strictly pseudoconvex domain $D$ of class $C^2$ in $\mathbb{C}^N$, the Henkin-Ram\'irez Kernel Function belongs to the Smirnov class, $E^q(D)$, for every $q\in(0,N)$.</p> <p>The main objective of this dissertation is to show an analogous result for the …
-
The Szego Kernel for Non-Pseudoconvex Domains in C<sup>2</sup>
<p>There are many operators associated with a domain Ω ⊂ â„‚<sup>n</sup> with smooth boundary ∂Ω. There are two closely related projections that are of particular interest. The <em>Bergman projection</em> <strong><em>B</em></strong> is the orthogonal projection of L<sup>2</sup>(Ω) onto the …
-
The Szego Kernel for Non-Pseudoconvex Domains in C<sup>2</sup>
<p>There are many operators associated with a domain Ω ⊂ â„‚<sup>n</sup> with smooth boundary ∂Ω. There are two closely related projections that are of particular interest. The <em>Bergman projection</em> <strong><em>B</em></strong> is the orthogonal projection of L<sup>2</sup>(Ω) onto the …