H² spaces of generalized half-planes

A. Korányi; E. Stein

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Displaying similar documents to “H² spaces of generalized half-planes”

A maximum principle for the Bergman space.

Boris Korenblum (1991)

Publicacions Matemàtiques

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Let f(z) and g(z) be holomorphic in the open unit disk D and let Z_f and Z_g be their zero sets. If Z_f ⊃ Z_g and |f(z)| ≥ |g(z)| (1/2 e^-2 < |z| < 1), then || f || ≥ || g || where || · || is the Bergman norm: || f ||² = π^-1 ∫_D |f(z)|² dm (dm is the Lebesgue area measure).

H² spaces of generalized half-planes

Stephen Vági (1978)

Studia Mathematica

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H² spaces of generalized half-planes

Stephen Vági (1977)

Studia Mathematica

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Formulas for approximate solutions of the ∂∂`-equation in a strictly pseudoconvex domain.

Mats Andersson, Hasse Carlsson (1995)

Revista Matemática Iberoamericana

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Let D be a bounded strictly pseudoconvex domain in C. We construct approximative solution formulas for the equation i∂∂`u = θ, θ being an exact (1,1)-form in D. We show that our formulas give simple proofs of known estimates and indicate further applications.

Some properties of the Bergman kernel function

David Bell (1969)

Compositio Mathematica

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Fredholm spectrum and Grunsky inequalities in general domains

Jacob Burbea (1986)

Studia Mathematica

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Regular holomorphic images of balls

John Erik Fornaess, Edgar Lee Stout (1982)

Annales de l'institut Fourier

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Every $n$ -dimensional complex manifold (connected, paracompact and Hausdorff) is the image of the unit ball in $C^{n}$ under a finite holomorphic map that is locally biholomorphic.

On the Forelli-Rudin construction and weighted Bergman projections

Ewa Ligocka (1989)

Studia Mathematica

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The Bergman kernel of the minimal ball and applications

Karl Oeljeklaus, Peter Pflug, El Hassan Youssfi (1997)

Annales de l'institut Fourier

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In this note we compute the Bergman kernel of the unit ball with respect to the smallest norm in $ℂ^{n}$ that extends the euclidean norm in $ℝ^{n}$ and give some applications.