Abstract
The study of p-variation of functions of one variable has a long history. Function of bounded p-variation have been studied by Wiener in [33]. The generalization of the Riemann–Stieltjes integral to functions of bounded p-variation against the derivative of a function of bounded q-variation, 1/p + 1/q > 1, is due to Young [34]. Much later Lyons developed his theory of rough paths [23] and [24], building on Young’s ideas, but going much further.
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© 2014 Springer Basel
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Koch, H., Tataru, D., Vişan, M. (2014). Functions of bounded p-variation. In: Dispersive Equations and Nonlinear Waves. Oberwolfach Seminars, vol 45. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0736-4_4
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DOI: https://doi.org/10.1007/978-3-0348-0736-4_4
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Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-0736-4
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