Extensions of discrete and equal Baire functions
✍ Scribed by Á. Császár
- Publisher
- Akadmiai Kiad
- Year
- 1990
- Tongue
- English
- Weight
- 324 KB
- Volume
- 56
- Category
- Article
- ISSN
- 1588-2632
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📜 SIMILAR VOLUMES
In the paper we present an exhaustive discussion of the relations between Darboux-like functions within the classes of Baire one, Baire two, Borel, and additive functions from R n into R. In particular we construct an additive extendable discontinuous function f : R → R, answering a question of Gibs
It is well-known that functions uEWmlp(R) can be extended by a bounded linear operator E to functions EuC Wm7p(R"), if R is C"-regular and m s M . Here we prove a corresponding result for grid-functions with extension operators E, converging to E and mention some applications.