worm domains
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scholarly journals Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains

2018 ◽  
Vol 292 (3-4) ◽  
pp. 879-893 ◽  
Author(s):  
Filippo Bracci ◽  
John Erik Fornæss ◽  
Erlend Fornæss Wold
Keyword(s):  
Pseudoconvex Domains ◽  
Invariant Metrics ◽  
Strongly Pseudoconvex Domains ◽  
Worm Domains

scholarly journals Worm domains and Fefferman space–time singularities

2017 ◽  
Vol 120 ◽  
pp. 142-168 ◽  
Author(s):  
Elisabetta Barletta ◽  
Sorin Dragomir ◽  
Marco M. Peloso
Keyword(s):  
Space Time ◽  
Time Singularities ◽  
Worm Domains

scholarly journals Regularity of the Szegö projection on model worm domains

2017 ◽  
Vol 62 (9) ◽  
pp. 1287-1313 ◽  
Author(s):  
Alessandro Monguzzi ◽  
Marco M. Peloso
Keyword(s):  
Szegö Projection ◽  
Worm Domains

scholarly journals On Hardy spaces on worm domains

2016 ◽  
Vol 3 (1) ◽  
Author(s):  
Alessandro Monguzzi
Keyword(s):  
Sobolev Spaces ◽  
Hardy Spaces ◽  
Pseudoconvex Domain ◽  
Bergman Projection ◽  
Review Article ◽  
High Order ◽  
Worm Domains

AbstractIn this review article we present the problem of studying Hardy spaces and the related Szeg˝o projection on worm domains. We review the importance of the Diederich–Fornæss worm domain as a smooth bounded pseudoconvex domain whose Bergman projection does not preserve Sobolev spaces of sufficiently high order and we highlight which difficulties arise in studying the same problem for the Szeg˝o projection. Finally, we announce and discuss the results we have obtained so far in the setting of non-smooth worm domains.

scholarly journals Irregularity of the Bergman projection on worm domains in ℂ n

2012 ◽  
Vol 61 (1) ◽  
pp. 187-198 ◽  
Author(s):  
David Barrett ◽  
Sönmez Şahutoğlu
Keyword(s):  
Bergman Projection ◽  
Worm Domains

scholarly journals Analysis and Geometry on Worm Domains

2008 ◽  
Vol 18 (2) ◽  
pp. 478-510 ◽  
Author(s):  
Steven G. Krantz ◽  
Marco M. Peloso
Keyword(s):  
Worm Domains
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