Estimates for the Szegő projection on uniformly finite-type subdomains of C2

Aaron Peterson ^[1]
1. [1] Northwestern University
  
  Northwestern University
  
  Township of Evanston, Estados Unidos
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 1, 2018, págs. 111-193
Idioma: inglés
DOI: 10.4171/RMI/982
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Resumen
- We prove precise growth and cancellation estimates for the Szegő kernel of an unbounded model domain Ω⊂C2 under the assumption that bΩ satisfies a uniform finite-type hypothesis. Such domains have smooth boundaries which are not algebraic varieties, and therefore admit no global homogeneities that allow one to use compactness arguments in order to obtain results.