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Biharmonic Bergman space and its reproducing kernel

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ABSTRACT We consider the weighted polyharmonic Bergman space , where is the space of all real-valued polyharmonic functions of degree m on and . has the reproducing kernel which is… Click to show full abstract

ABSTRACT We consider the weighted polyharmonic Bergman space , where is the space of all real-valued polyharmonic functions of degree m on and . has the reproducing kernel which is called by the weighted polyharmonic Bergman kernel.

Keywords: reproducing kernel; space; space reproducing; biharmonic bergman; bergman space

Journal Title: Complex Variables and Elliptic Equations
Year Published: 2018

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