On the Sense of Convergence in the Dyadic Representation Theorem

Tuomas Hytönen

doi:10.1007/s10114-025-3698-0

On the Sense of Convergence in the Dyadic Representation Theorem

Tuomas Hytönen^*

^*Tämän työn vastaava kirjoittaja

University of Helsinki

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

Abstrakti

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) ∈ L^p(ℝ^d) × L^p′(ℝ^d), not just test functions.

Alkuperäiskieli	Englanti
Sivut	472-496
Sivumäärä	25
Julkaisu	Acta Mathematica Sinica, English Series
Vuosikerta	41
Numero	1
DOI - pysyväislinkit	https://doi.org/10.1007/s10114-025-3698-0
Tila	Julkaistu - tammik. 2025
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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10.1007/s10114-025-3698-0

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On_the_Sense_of_Convergence_in_the_Dyadic_Representation_Theorem
Accepted author manuscript, 549 KB
Kielto päättyy: 15/01/2026

FIRST Hytönen 2024-2026: Finnish centre of excellence in Randomness and STructures (FiRST)
Hytönen, T. (Vastuullinen tutkija)
01/01/2024 → 31/12/2026
Projekti: RCF Centre of Excellence

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IS - 1

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On the Sense of Convergence in the Dyadic Representation Theorem

Abstrakti

Pääsy asiakirjaan

Muut tiedostot ja linkit

Kielletty (embargo) dokumentti

Sormenjälki

Projektit

FIRST Hytönen 2024-2026: Finnish centre of excellence in Randomness and STructures (FiRST)

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