Abstract
In this survey paper we will consider the dyadic version of the classical theorem of Lebesgue. Schipp [13] proved that the dyadic derivative of the dyadic integral of a function f ∈ L 1[0, 1) is almost everywhere f. The theory of Hardy spaces can be well applied in harmonic analysis as well as in the theory of dyadic derivative (see e.g. [19, 24] and the references therein).
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Weisz, F. (2015). Hardy Spaces in the Theory of Dyadic Derivative. In: Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations. Atlantis Studies in Mathematics for Engineering and Science, vol 12. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-160-4_8
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DOI: https://doi.org/10.2991/978-94-6239-160-4_8
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