Michael Dymond

activity

20132025

most citedDifferentiability inside sets with upper Minkowski dimension one

7 citations · 22 across the 16 of their papers we have counts for

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math.FA2013

Avoiding σ-porous sets in Hilbert spaces

Michael Dymond

We give a constructive proof that any $σ$ -porous subset of a Hilbert space has Lebesgue measure zero on typical $C^{1}$ curves. Further, we discover that this result does not exten…

math.FA2013★ 1 cited

On interval based generalizations of absolute continuity for functions on $R^{n}$

Michael Dymond, Beata Randrianantoanina, Huaqiang Xu

We study notions of absolute continuity for functions defined on $R^{n}$ similar to the notion of $α$ -absolute continuity in the sense of Bongiorno. We confirm a conjecture o…

math.FA2013★ 7 cited

Differentiability inside sets with upper Minkowski dimension one

Michael Dymond, Olga Maleva

We show that every finite-dimensional Euclidean space contains compact universal differentiability sets of upper Minkowski dimension one. In other words, there are compact sets $S$ …

Avoiding σ-porous sets in Hilbert spaces

On interval based generalizations of absolute continuity for functions on Rn

Differentiability inside sets with upper Minkowski dimension one

On interval based generalizations of absolute continuity for functions on $R^{n}$