✦ LIBER ✦
Elements ofD′Ls(Mp)andD′Ls{Mp}as Boundary Values of Holomorphic Functions
✍ Scribed by Stevan Pilipović
- Book ID
- 102591302
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 221 KB
- Volume
- 203
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
We give representations of elements belonging to D D and D D , s g 1, ϱ , L L where M is a non-quasianalytic sequence, as boundary values of holomorphic p functions which satisfy appropriate estimates on the boundary of their domains. Conversely, we prove that the same estimates on holomorphic functions imply their D D X s Ž M p . -and D D X s Ä M p 4 -boundary values. With the stronger assumptions on M we L L p obtain that appropriate L ϱ , resp. L 1 , estimates on holomorphic functions imply their boundary values in D D X ϱ