A sharp inequality for holomorphic functions on the polydisc

DOI10.1090/S0002-9939-2012-11446-7zbMath1271.32005arXiv1105.4374MaRDI QIDQ4910781

Marijan Marković

Publication date: 19 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4374

zbMATH Keywords

polydiscHardy spacesweighted Bergman spaces

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Inequalities in the complex plane (30A10) Hardy spaces (30H10)

Related Items

Sharp inequalities for holomorphic function spaces ⋮ Sharp inequalities over the unit polydisc

Cites Work

• Isoperimetric inequality for the polydisk
• Isoperimetric type inequalities for harmonic functions
• New proofs of the isoperimetric inequality and some generalizations
• The isoperimetric inequality via approximation theory and free boundary problems
• On the inclusion \(H^2(U^n)\subset H^{2n}(B_n)\) and the isoperimetric inequality
• Some properties of fractional integrals. II
• Sharp inequalities for holomorphic functions
• Inequalities for Holomorphic Functions of Several Complex Variables
• On Differentiability at the Boundary in Conformal Mapping
• On a Theorem of Hardy and Littlewood on the Polydisc
• The Isoperimetric Inequality and Rational Approximation
• Isometries of Bergman Spaces over Bounded Runge Domains
• The Bergman Norm and the Szego Norm
• The isoperimetric inequality
• The Isoperimetric Inequality and a Theorem of Hardy and Littlewood
• Subharmonic Functions and Surfaces of Negative Curvature
• The Isoperimetric Problem
• Sur la représentation conforme des domaines limites par des courbes rectifiables
• Theory of Reproducing Kernels
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