Read Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note Series, Series Number 199)

Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note Series, Series Number 199)

Manfred Stoll

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Description: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-Szego 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note Series, Series Number 199). To get started finding Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note Series, Series Number 199), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 0521468302

Description: 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-Szego 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note Series, Series Number 199). To get started finding Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note Series, Series Number 199), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note Series, Series Number 199)

Invariant Potential Theory in the Unit Ball of Cn (London Mathematical Society Lecture Note Series, Series Number 199)

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