On the Sense of Convergence in the Dyadic Representation Theorem
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2025-01
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en
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25
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Acta Mathematica Sinica, English Series, Volume 41, issue 1, pp. 472-496
Abstract
The dyadic representation of any singular integral operator, as an average of dyadic model operators, has found many applications. While for many purposes it is enough to have such a representation for a “suitable class” of test functions, we show that, under quite general assumptions (essentially minimal ones to make sense of the formula), the representation is actually valid for all pairs (f,g) ∈ Lp(ℝd) × Lp′(ℝd), not just test functions.Description
Publisher Copyright: © Springer-Verlag GmbH Germany & The Editorial Office of AMS 2025.
Keywords
42B20, dyadic shift, Singular integral
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Citation
Hytönen, T 2025, ' On the Sense of Convergence in the Dyadic Representation Theorem ', Acta Mathematica Sinica, English Series, vol. 41, no. 1, pp. 472-496 . https://doi.org/10.1007/s10114-025-3698-0