Abstract
We consider function spaces which consist of two parabolic Bloch spaces, and present reproducing formulas. As an application, we introduce Bloch type spaces which consist of solutions of a partial differential equation $(L^{(\alpha)})^2u=0$, and investigate several properties.
Funding Statement
The Second and Third authors are supported by Grant-in-aid for
Science Research, No. JP19K03523.
The Fourth author is supported by Grant-in-aid for Science Research, No. JP16K05198.
Citation
Yôsuke Hishikawa. Masaharu Nishio. Katsunori Shimomura. Masahiro Yamada. "Function spaces induced by two parabolic Bloch spaces." Hiroshima Math. J. 51 (3) 247 - 265, November 2021. https://doi.org/10.32917/h2020031
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