Strong variational and jump inequalities in harmonic analysis

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L^p(Z^d)-estimates for discrete operators of Radon type: Variational estimates (2015, methodology): “These kinds of questions were extensively discussed in [10], see also the references given there.”
The ρ-variation as an operator between maximal operators and singular integrals (2009, background): “Nevertheless, the results in [ 2 ] cannot be applied directly to the family e − tH , reason why, in order to prove the L p boundedness of O(T ) and Vρ(T ),”
Discrete maximal functions in higher dimensions and applications to ergodic theory (2014, background): “Variational inequalities in harmonic analysis and ergodic theory have been the subject of many recent articles, see especially [14, 15, 16, 30, 41] and the references given therein (see also [27, 29]).”