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Paper IPM / M / 8313 |
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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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