Dyadic representation and boundedness of non-homogeneous Calderón--Zygmund operators with mild kernel regularity

We prove a new dyadic representation theorem with applications to the \(T(1)\) and \(A_2\) theorems. In particular, we obtain the non-homogeneous \(T(1)\) theorem under weaker kernel regularity than the earlier approaches.

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Bibliographic Details
Published in:arXiv.org 2016-12
Main Authors: Ana Grau de la Herrán, Hytönen, Tuomas
Format: Article
Language:English
Subjects:
Kernels
Regularity
Representations
Theorems
Online Access:Get full text
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Summary:We prove a new dyadic representation theorem with applications to the \(T(1)\) and \(A_2\) theorems. In particular, we obtain the non-homogeneous \(T(1)\) theorem under weaker kernel regularity than the earlier approaches.
ISSN:2331-8422