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A Luecking-type subspace of $\mathcal{L}\sp 1\sb a$ and its dual
- Source :
- Proceedings of the American Mathematical Society; 1990, Vol. 110 Issue: 3 p767-774, 8p
- Publication Year :
- 1990
-
Abstract
- The purpose of this investigation is to determine the extent to which Luecking's decomposition of Bergman spaces $ \mathcal{L}_a^p,(1 &lt; p &lt; \infty )$ $ \mathcal{L}_a^1$ <IMG WIDTH="29" HEIGHT="43" ALIGN="MIDDLE" BORDER="0" SRC="images/img5.gif" ALT="$ \mathcal{L}_a^1$">. In this note we equip each of such functions with a new norm and study the resulting Banach space. We describe its dual and predual.
Details
- Language :
- English
- ISSN :
- 00029939 and 10886826
- Volume :
- 110
- Issue :
- 3
- Database :
- Supplemental Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Periodical
- Accession number :
- ejs21899342