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Description - Invariant Potential Theory in the Unit Ball of Cn by Manfred Stoll

This monograph covers Poisson-Szego integrals on the ball, the Green's function for D D and the Riesz decomposition theorem for invariant subharmonic functions. The extension to the ball of the classical Fatou theorem on non-tangible limits of Poisson integrals, and Littlewood's theorem on the existence of radial limits of subharmonic functions are covered in detail. It also contains recent results on admissible and tangential boundary limits of Green potentials, and Lp inequalities for the invariant gradient of Greens potentials. Applications of some of the results to Hp spaces, and weighted Bergman and Dirichlet spaces of invariant harmonic functions are included.

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Book Details

ISBN: 9780521468305
ISBN-10: 0521468302
Format: Paperback
(228mm x 152mm x 11mm)
Pages: 184
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 12-May-1994
Country of Publication: United Kingdom

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