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RESEARCH PRODUCT
On the Hencl's notion of absolute continuity
Donatella Bongiornosubject
Sobolev spacePure mathematicsContinuous functionApplied MathematicsCalculusAbsolute continuityAbsolute continuitySobolev spaceAnalysisModulus of continuityMathematicsdescription
Abstract We prove that a slight modification of the notion of α-absolute continuity introduced in [D. Bongiorno, Absolutely continuous functions in R n , J. Math. Anal. Appl. 303 (2005) 119–134] is equivalent to the notion of n, λ-absolute continuity given by S. Hencl in [S. Hencl, On the notions of absolute continuity for functions of several variables, Fund. Math. 173 (2002) 175–189].
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-02-01 |