Isoperimetric inequality for the polydisk

DOI10.1007/s10231-010-0153-2zbMath1222.32013OpenAlexW1987648833MaRDI QIDQ540732

David Kalaj

Publication date: 3 June 2011

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-010-0153-2

zbMATH Keywords

polydiskholomorphic Bergman spaceholomorphic Hardy space

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items

On some Riesz and Carleman type inequalities for harmonic functions in the unit disk ⋮ Optimal estimates for the gradient of harmonic functions in the unit disk ⋮ Sharp inequalities for holomorphic function spaces ⋮ A sharp inequality for holomorphic functions on the polydisc ⋮ On Riesz type inequalities for harmonic mappings on the unit disk ⋮ Sharp inequalities over the unit polydisc

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Sharp inequalities for holomorphic functions
• 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
• The Isoperimetric Problem
• Sur la représentation conforme des domaines limites par des courbes rectifiables
• Theory of Reproducing Kernels

This page was built for publication: Isoperimetric inequality for the polydisk