On global integrability of BMO functions on general domains

DOI10.1007/BF02788692zbMath0916.30033MaRDI QIDQ1271293

Yasuhiro Gotoh

Publication date: 20 July 1999

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

quasihyperbolic metricquasiconformal mapBMO functionsuniform domains

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Related Items

Inequalities of John-Nirenberg type in doubling spaces, Global integrability of \(p\)-superharmonic functions on metric spaces

Cites Work

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• Uniform domains and the quasi-hyperbolic metric
• Funktionen beschränkter mittlerer Oszillation
• BMO extension theorem for relative uniform domains
• Functions of bounded mean oscillation and quasiconformal mappings
• On decomposition theorem for BMO and VMO
• On functions of bounded mean oscillation
• L^p-averaging domains and the Poincaré inequality
• Exponential integrability of the quasi-hyperbolic metric on Hölder domains