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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Invariant Potential Theory in the Unit Ball of Cn

Invariant Potential Theory in the Unit Ball of Cn

Stoll, Manfred
Cassels, J. W. S.
Hitchin, N. J.

Paperback

Series: London Mathematical Society Lecture Note, Book 199

AlgebraCalculusProbability & Statistics

ISBN10: 0521468302
ISBN13: 9780521468305
Publisher: Cambridge University Press
Published: May 12 1994
Pages: 184
Weight: 0.60
Height: 0.48 Width: 6.03 Depth: 8.97
Language: English
This monograph covers Poisson-Szegö 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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