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Generalized Hake property for integrals of Henstock type

Valentin A. SkvortsovValentin A. SkvortsovFrancesco Tulone

subject

Pure mathematicsProperty (philosophy)HakeBasis (linear algebra)Settore MAT/05 - Analisi MatematicaGeneral MathematicsMathematical analysisMathematics::Classical Analysis and ODEsTopological spaceType (model theory)Hake propertyDifferential (mathematics)Mathematics

description

An integral of Henstock-Kurzweil type is considered relative to an abstract differential basis in a topological space. It is shown that under certain conditions posed onto the basis this integral satisfies the generalized Hake property.

10.3103/s0027132213060028http://hdl.handle.net/10447/102095