Download E-books Invariant Potential Theory in the Unit Ball of C^n PDF

By Manfred Stoll

This monograph covers Poisson-Szeg? integrals at the ball, the Green's functionality for ^D*D and the Riesz decomposition theorem for invariant subharmonic capabilities. The extension to the ball of the classical Fatou theorem on non-tangible limits of Poisson integrals, and Littlewood's theorem at the lifestyles of radial limits of subharmonic capabilities are coated intimately. It additionally includes fresh effects on admissible and tangential boundary limits of eco-friendly potentials, and Lp inequalities for the invariant gradient of vegetables potentials. purposes of a few of the implications to Hp areas, and weighted Bergman and Dirichlet areas of invariant harmonic services are integrated.

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