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(2006). On The Mean Convergence of Biharmonic Functions. Journal of Sciences, Islamic Republic of Iran, 17(4), -.
. "On The Mean Convergence of Biharmonic Functions". Journal of Sciences, Islamic Republic of Iran, 17, 4, 2006, -.
(2006). 'On The Mean Convergence of Biharmonic Functions', Journal of Sciences, Islamic Republic of Iran, 17(4), pp. -.
On The Mean Convergence of Biharmonic Functions. Journal of Sciences, Islamic Republic of Iran, 2006; 17(4): -.

On The Mean Convergence of Biharmonic Functions

Article 7, Volume 17, Issue 4, Autumn 2006  XML PDF (114.85 K)
Abstract
Let denote the unit circle in the complex plane. Given a function , one uses t usual (harmonic) Poisson kernel for the unit disk to define the Poisson integral of , namely . Here we consider the biharmonic Poisson kernel for the unit disk to define the notion of -integral of a given function ; this associated biharmonic function will be denoted by . We then consider the dilations for and . The main result of this paper indicates that the dilations are convergent to in the mean, or in the norm of .
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