Abstract
D. Luecking has recently proved that a Toeplitz operator with measure symbol on the Bergman space of unit disk has finite rank if and only if its symbols is a linear combination of point masses. In this note we extend this theorem to higher dimensional cases.
| Original language | English |
|---|---|
| Pages (from-to) | 213-224 |
| Number of pages | 12 |
| Journal | Journal of the Mathematical Society of Japan |
| Volume | 61 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2009 Jan |
Keywords
- Bergman space
- Finite rank
- Toeplitz operator
ASJC Scopus subject areas
- Mathematics(all)