Biharmonic Bergman space and its reproducing kernel.

We consider the weighted polyharmonic Bergman space <inline-graphic></inline-graphic>, where <inline-graphic></inline-graphic> is the space of all real-valued polyharmonic functions of degree m on <inline-graphic></inline-graphic> and <inline-graphic></inline-graphic>. <inline-graphic></inline-graphic> has the reproducing kernel which is called by the weighted polyharmonic Bergman kernel. [ABSTRACT FROM AUTHOR]