We characterize Carleson measures on the Dirichlet spaces. Our result leads to necessary and sufficient conditions for multipliers of the Dirichlet spaces.
On α-Bloch Spaces and Multipliers of Dirichlet Spaces
✍ Scribed by Rauno Aulaskari; Peter Lappan; Jie Xiao; Ruhan Zhao
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 277 KB
- Volume
- 209
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
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.
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