The sharp weighted bound for general Calderón-Zygmund operators

By Tuomas Hytönen. 2010

288 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/a45711914b2c7505ec1ecd0dec0aff228961f02a

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In Applied Mathematics

Citations in the corpus

A Simple Proof of the A2 Conjecture (2013, methodology): “1) in full generality (Hytönen [7], 2010); • a simplification of the proof (Hytönen et al.”
An elementary proof of the A2 bound (2015, methodology): “f the weight. This was not resolved until 2007, by Petermichl [P], showing that norm of the Hilbert transform is linear in the A2 characteristic. Five years later, among competing approaches, Hytönen [H1] established the A2 Theorem: For any Calderón-Zygmund operator T, and any A2 weight, the norm es”
Sparse bilinear forms for Bochner Riesz multipliers and applications (2016, unknown): “The optimal result for Calder´on-Zygmund operators (C-Z operators), which corresponds to the so-called A 2 conjecture , was ﬁrst obtained by Hyt¨onen [21].”
Intuitive dyadic calculus: The basics (2015, background): “The main result of Section 10, Theorem 10.2, has been well known in the local form, i.e., for functions defined on some cube Q ⊂ Rn (see, for instance, Hytönen [7]) .”
Two Weight Inequality for the Hilbert Transform: A Real Variable Characterization, II (2012, methodology): “timate of the norm of the TWO WEIGHT HILBERT TRANSFORM 3 operator in terms of the A2 constant of w and the testing constant. This result was employed by Hytönen, in his resolution ofthe A2 conjecture [4]. (Simpler proofs havesubsequently been found.) Our main theorem bears strong resemblance to the ”
The Sharp Weighted Bound for Multilinear Maximal Functions and Calderón–Zygmund Operators (2012, background): “Later is was proven by Hyt¨onen [8] that if T is a Calder´on-Zygmund operator then (1.2) Again, we refer the reader to [9, 12] for the background material and further references.”
Two Weight Commutators on Spaces of Homogeneous Type and Applications (2018, result): “Note that in Rn, this “non-degenrated” condition was first proposed in [24], and a similar assumption on the behaviour of the kernel lower bound was proposed in [32].”