Dyadic harmonic analysis beyond doubling measures

We characterize the Borel measures \(\mu\) on \(\mathbb{R}\) for which the associated dyadic Hilbert transform, or its adjoint, is of weak-type \((1,1)\) and/or strong-type \((p,p)\) with respect to \(\mu\). Surprisingly, the class of such measures is strictly bigger than the traditional class of dy...

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Veröffentlicht in:	arXiv.org 2014-07
Hauptverfasser:	López-Sánchez, Luis Daniel, Martell, José María, Parcet, Javier
Format:	Artikel
Sprache:	eng
Schlagworte:	Economic models Fourier analysis Harmonic analysis Hilbert transformation Mathematics - Classical Analysis and ODEs
Online-Zugang:	Volltext
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