A Dirichlet Norm Inequality and Some Inequalities for Reproducing Kernel Spaces

DOI10.2307/2043511zbMath0466.30011OpenAlexW4233643199MaRDI QIDQ3918350

Jacob Burbea

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043511

zbMATH Keywords

norm inequalityreproducing kernel spacesDirichlet norm

Mathematics Subject Classification ID

Hilbert spaces of continuous, differentiable or analytic functions (46E20) Kernel functions in one complex variable and applications (30C40)

Related Items (5)

Quadratic inequalities deduced from the theory of reproducing kernels ⋮ Exponential inequality for holomorphic functions with finite Dirichlet integrals ⋮ Weighted norm inequalities for a nonlinear transform ⋮ Inequalities for Holomorphic Functions of Several Complex Variables ⋮ Norm inequalities of exponential type for holomorphic functions

Cites Work

• Some inequalities for analytic functions with a finite Dirichlet integral on the unit disc
• Total positivity of certain reproducing kernels
• The curvatures of the analytic capacity
• On the Bergman metrics and their indicatrixes
• Theory of Reproducing Kernels

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