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Paper   IPM / M / 8313
School of Mathematics
  Title:   A new biharmonic kernel for the upper half plane
  Author(s):  A. Abkar
  Status:   Published
  Journal: J. Korean Math. Soc.
  Vol.:  43
  Year:  2006
  Pages:   1169-1181
  Supported by:  IPM
  Abstract:
We introduce a new biharmonic kernnel for the upper half plane, and then study the properties of its relenant potentials, such as the convergence in the mean and the boundary behavior. Among other things, we shall see that Fatou's theorem is valid for these potentials, so that the biharmonic Poission kernel resembles the ususal Poisson kernel for the upper half plane.

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