Farrell and Mergelyan sets of \(H^ p\) spaces \((0<p<1)\) (Q909060)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Farrell and Mergelyan sets of \(H^ p\) spaces \((0 |
scientific article; zbMATH DE number 4136309
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Farrell and Mergelyan sets of \(H^ p\) spaces \((0<p<1)\) |
scientific article; zbMATH DE number 4136309 |
Statements
Farrell and Mergelyan sets of \(H^ p\) spaces \((0<p<1)\) (English)
0 references
1989
0 references
The authors show, that for relatively closed subsets of the unit disk notions of Mergelyan and Farrell sets with respect to Hardy classes \(H^ p\), \(0<p<1\) (and even Smirnov class \(N^+)\), are equivalent and obtain a ``geometric'' characterization of those sets in terms of their ``size'' near the unit circle.
0 references
Mergelyan sets
0 references
Nevanlinna class
0 references
Smirnov class
0 references
Farrell sets
0 references
Hardy classes
0 references
0.8600894
0 references
0.85435766
0 references
0 references
0.85167634
0 references
