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Derivatives not first return integrable on a fractal set

Donatella Bongiorno

subject

Pure mathematicss-dimensional Hausdorff measureIntegrable systemApplied MathematicsGeneral MathematicsNumerical analysis010102 general mathematicss-setFirst return integrals-derivative01 natural sciences010305 fluids & plasmasSettore MAT/05 - Analisi Matematica0103 physical sciencesFractal set0101 mathematicsAlgebra over a fieldHenstock–Kurzweil integralMathematics

description

We extend to s-dimensional fractal sets the notion of first return integral (Definition 5) and we prove that there are s-derivatives not s-first return integrable.

10.1007/s11587-018-0390-zhttp://hdl.handle.net/10447/427154