Abstract
We consider the Bergman spaces consisting of harmonic functions on the unit ball in ℝn that are square-integrable with respect to radial weights. We will describe compactness for certain classes of Toeplitz operators on these harmonic Bergman spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 136-148 |
| Number of pages | 13 |
| Journal | Journal of the Australian Mathematical Society |
| Volume | 64 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 1998 |
Funding
whenever the ball B(y, r) C B. For - 1 < a < oo let JV'O(A) = (1 - |,v|2)" t/VU), where V denotes Lebesgue volume measure on R". The harmonic Bergman space b2a(B) is the space of all harmonic functions u which are in L2(B, Va). Integrating (1.1) with respect to /• we obtain The author was partially supported by grants from the Montana University System and the University of Montana. © 1998 Australian Mathematical Society 0263-6115/98 SA2.00 + 0.00
| Funders |
|---|
| Montana University System |
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