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math.DG2024
On the exterior product of Hölder differential forms
Philippe Bouafia
We introduce a complex of cochains, -fractional charges (), whose regularity is between that of De Pauw-Moonens-Pfeffer's charges and that of Whitney's flat cochain…
math.PR2024
A regularity property of fractional Brownian sheets
Philippe Bouafia, Thierry De Pauw
A function defined on is called strongly chargeable if there is a continuous vector-field such that equals the flux of through the rectan…
math.FA2024★ 1 cited
Young Integration with respect to Hölder Charges
Philippe Bouafia
We present a multidimensional Young integral that enables to integrate Hölder continuous functions with respect to a Hölder charge. It encompasses the integration of Hölder differe…