Möbius - Invariant Potential Theory in the Unit Ball of Cn
Author: David Ullrich
Publisher:
Published: 1981
Total Pages: 116
ISBN-13:
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Author: David Ullrich
Publisher:
Published: 1981
Total Pages: 116
ISBN-13:
DOWNLOAD EBOOKAuthor: Manfred Stoll
Publisher: Cambridge University Press
Published: 1994-05-12
Total Pages: 187
ISBN-13: 0521468302
DOWNLOAD EBOOKThis 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.
Author: Manfred Stoll
Publisher:
Published: 1994
Total Pages: 0
ISBN-13: 9781107371644
DOWNLOAD EBOOKThe 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.
Author: Manfred Stoll
Publisher:
Published: 1994
Total Pages:
ISBN-13: 9781139885058
DOWNLOAD EBOOKAuthor: Manfred Stoll
Publisher: Cambridge University Press
Published: 2016-06-30
Total Pages: 243
ISBN-13: 1107541484
DOWNLOAD EBOOKA detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.
Author: Paul M. Gauthier
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 565
ISBN-13: 9401109346
DOWNLOAD EBOOKProceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, Montréal, Canada, July 26--August 6, 1993
Author:
Publisher:
Published: 1981
Total Pages: 580
ISBN-13:
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Publisher:
Published: 1989
Total Pages: 746
ISBN-13:
DOWNLOAD EBOOKAuthor: Hakan Hedenmalm
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 299
ISBN-13: 1461204976
DOWNLOAD EBOOKFifteen years ago, most mathematicians who worked in the intersection of function theory and operator theory thought that progress on the Bergman spaces was unlikely, yet today the situation has completely changed. For several years, research interest and activity have expanded in this area and there are now rich theories describing the Bergman spaces and their operators. This book is a timely treatment of the theory, written by three of the major players in the field.
Author: K. GowriSankaran
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 467
ISBN-13: 9401111383
DOWNLOAD EBOOKProceedings of the NATO Advanced Research Workshop, Château de Bonas, France, July 25--31, 1993