Abstract
In this paper, we first survey some regularities and irregularities resulting from the effects of weighted Bergman projections on decoupled and worm domains in ℂn+1. In the second part of the paper, we characterize weighted Bergman spaces with the help of the weighted Bergman kernel. Then we show that the generalized Cesáro operator is bounded on Bloch, Bergman and Hardy spaces.
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Chang, DC., Gilbert, R., Tie, J. (2003). Bergman Projection and Weighted Holomorphic Functions. In: Alpay, D. (eds) Reproducing Kernel Spaces and Applications. Operator Theory: Advances and Applications, vol 143. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8077-0_5
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DOI: https://doi.org/10.1007/978-3-0348-8077-0_5
Publisher Name: Birkhäuser, Basel
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