Inequalities for Holomorphic Functions of Several Complex Variables

DOI10.2307/1999430zbMath0556.32015OpenAlexW4255794550MaRDI QIDQ3220864

Jacob Burbea

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999430

zbMATH Keywords

Dirichlet spacesnorm inequalities for Hilbert spaces of holomorphic functions

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Algebras of holomorphic functions of several complex variables (32A38)

Related Items (8)

Hardy classes and related spaces of analytic functions in the unit circle, polydisc, and the ball ⋮ Sharp inequalities for holomorphic function spaces ⋮ Some integral identities and inequalities for entire functions and their application to the coherent state transform ⋮ Positive-Definiteness and its Applications to Interpolation Problems for Holomorphic Functions ⋮ A sharp inequality for holomorphic functions on the polydisc ⋮ A lower bound for the Wehrl entropy of quantum spin with sharp high-spin asymptotics ⋮ Norm inequalities of exponential type for holomorphic functions ⋮ Sharp inequalities over the unit polydisc

Cites Work

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• Some inequalities for analytic functions with a finite Dirichlet integral on the unit disc
• Reproducing kernel spaces and analytic continuation
• Inequalities for reproducing kernel spaces
• On a Hilbert space of analytic functions and an associated integral transform part I
• Some Inequalities for Entire Functions
• A Dirichlet Norm Inequality and Some Inequalities for Reproducing Kernel Spaces
• Certain Hilbert spaces of entire functions

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