Some inequalities for analytic functions with a finite Dirichlet integral on the unit disc

DOI10.1007/BF01352026zbMath0427.30001MaRDI QIDQ1136880

Saburou Saitoh

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163328

zbMATH Keywords

Bergman kernelreproducing kernelsDirichlet integralSzegö kernelinequality for analytic functions

Mathematics Subject Classification ID

Inequalities in the complex plane (30A10) Kernel functions in one complex variable and applications (30C40)

Related Items (6)

Quadratic inequalities deduced from the theory of reproducing kernels ⋮ A Dirichlet Norm Inequality and Some Inequalities for Reproducing Kernel Spaces ⋮ Weighted norm inequalities for a nonlinear transform ⋮ Inequalities for Holomorphic Functions of Several Complex Variables ⋮ Norm inequalities of exponential type for holomorphic functions ⋮ Positive definite Hermitian matrices and reproducing kernels

Cites Work

• Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
• On rings of operators
• The Bergman Norm and the Szego Norm
• A procedure for conformal maps of simply connected domains by using the Bergman function
• Theory of Reproducing Kernels

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