Loading...
Please wait, while we are loading the content...
Similar Documents
Cauchy-fantappie-type Projections and Duality on Poletsky-stessin Hardy Spaces of Complex Ellipsoids
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sibel, Silici |
| Copyright Year | 2014 |
| Abstract | Poletsky-Stessin Hardy spaces, dened in (2), are the natural generalizations of Hardy spaces on hyperconvex domains and the Cauchy-Fantappie projections are the n- dimensional analogs of Cauchy integral of the one variable theory. In the rst part of this talk we will consider the boundedness and compactness properties of Cauchy-Fantappie- type projections on Poletsky-Stessin Hardy spaces H p u (B p ) of complex ellipsoids. We show that the boundedness and compactness of these operators can be characterized through the conditions known as Carleson conditions. This characterization enables us to relate the PS- Hardy spaces generated by an arbitrary exhaustion function ' to the H p u (B p ) for which we have a better understanding. In the second part of the talk, we will mention Grothendieck- Kothe-da Silva duality for the spaces of holomorphic functions dened in a convex domain and then using a general characterization of dual complements of Reinhardt domains by (1), we give the dual complement of some special type of complex ellipsoids. Moreover, we present a duality result for Poletsky-Stessin Hardy space of complex ellipsoid analogous to that of (1) on classical Hardy spaces. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://web.iku.edu.tr/ias/documents/ias-sibel.pdf |
| Alternate Webpage(s) | http://ias.sabanciuniv.edu/documents/Sahin_IAS_07.11.2014.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
