and f is called a little ␣-Bloch function, denoted by Ž . Ž . where g z, a is a Green's function of D D with singularity at a. Similarly, an analytic function f belongs to Q , 0p -ϱ, if p, 0 < < 2 p lim f Ј z g z, a dxdy s 0.
Carleson Measures and Multipliers for Dirichlet Spaces
✍ Scribed by Zhijian Wu
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 193 KB
- Volume
- 169
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
We characterize Carleson measures on the Dirichlet spaces. Our result leads to necessary and sufficient conditions for multipliers of the Dirichlet spaces.
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