Abstract
In this paper, we study the reproducing formula with fractional orders on the parabolic Bloch space. As an application of the reproducing formula, we characterize the dual and pre-dual spaces of parabolic Bergman spaces. Furthermore, we generalize the integral pairing, which gives the duality between the parabolic Bloch space and the parabolic Bergman space.
Citation
Yôsuke HISHIKAWA. "The reproducing formula with fractional orders on the parabolic Bloch space." J. Math. Soc. Japan 62 (4) 1219 - 1255, October, 2010. https://doi.org/10.2969/jmsj/06241219
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