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{ "item_title" : "Invariant Potential Theory in the Unit Ball of Cn", "item_author" : [" Manfred Stoll", "J. W. S. Cassels", "N. J. Hitchin "], "item_description" : "This monograph covers Poisson-Szegintegrals on the ball, the Green's function forD*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.", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/0/52/146/830/0521468302_b.jpg", "price_data" : { "retail_price" : "53.00", "online_price" : "53.00", "our_price" : "53.00", "club_price" : "53.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Invariant Potential Theory in the Unit Ball of Cn|Manfred Stoll

Invariant Potential Theory in the Unit Ball of Cn

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Overview

This monograph covers Poisson-Szeg 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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Details

  • ISBN-13: 9780521468305
  • ISBN-10: 0521468302
  • Publisher: Cambridge University Press
  • Publish Date: May 1994
  • Dimensions: 8.97 x 6.03 x 0.48 inches
  • Shipping Weight: 0.6 pounds
  • Page Count: 184

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