In this article, we define the bicomplex weighted Bergman spaces on the bidisk and their associated weighted Bergman projections, where the respective Bergman kernels are determined. We study also the bicomplex Bergman projection onto the bicomplex Bloch space.

中文翻译：

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双复合Bergman空间和Bloch空间

在本文中，我们在双磁盘上定义了双复数加权Bergman空间及其相关的加权Bergman投影，在其中确定了各个Bergman核。我们还研究了在双复Bloch空间上的双复Bergman投影。