Könyv Invariant Potential Theory in the Unit Ball of Cn Manfred Stoll

Invariant Potential Theory in the Unit Ball of Cn

Szerző: Manfred Stoll
Nyelv: Angol
Kötés: Puha kötésű
Elérhetőség: Beszállítói készleten
Küldés 14-21 napon belül
20 548 Ft
This monograph provides an introduction and a survey of recent results in potential theory with resp...

Információk a könyvről

Szerző
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
1994
oldal
184
EAN
9780521468305
ISBN
0521468302
Enbook ID
02032097
Súly
271
Méretek
152 x 228 x 11

Teljes leírás

This monograph provides an introduction and a survey of recent results in potential theory with respect to the Laplace–Beltrami operator D in several complex variables, with special emphasis on the unit ball in Cn. Topics covered include Poisson–Szegö integrals on the ball, the Green's function for 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. The monograph also contains recent results on admissible and tangential boundary limits of Green potentials, and Lp inequalities for the invariant gradient of Green potentials. Applications of some of the results to Hp spaces, and weighted Bergman and Dirichlet spaces of invariant harmonic functions are included. The notes are self-contained, and should be accessible to anyone with some basic knowledge of several complex variables.

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