On the definition of some Banach spaces over bounded domains with irregular boundary

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dc.creatorHiltunen, Seppo I
dc.date2005-05-18
dc.date2005-11-08
dc.date.accessioned2026-07-07T06:39:59Z
dc.date.available2026-07-07T06:39:59Z
dc.descriptionThis note aims to clarify the interrelations of certain inequivalently defined Banach spaces denoted by C^i(\barΩ) for a natural number i and a bounded open set Ω. We give some sufficient conditions for the equality of these spaces, and present examples to show that the spaces indeed can be unequal for Ωhaving irregular boundary.
dc.description4 pages, AmSTeX; v2: Added: 'surjection' in Exa 1, subscript 'Hö' in Exa 3. Removed: use of AC in Prop 2; v3: a reference updated, two misprints corrected
dc.identifierhttps://arxiv.org/abs/math/0505380
dc.identifierhttp://arxiv.org/abs/math/0505380
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101283
dc.subjectFunctional Analysis
dc.subject46E15
dc.titleOn the definition of some Banach spaces over bounded domains with irregular boundary
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