The sharp weighted bound for general Calderon-Zygmund operators
- T. Hytonen
- Mathematics
- 25 July 2010
for all Muckenhoupt weights w ∈ A2. This optimal estimate was known as the A2 conjecture. A recent result of Perez–Treil–Volberg reduced the problem to a testing condition on indicator functions,…
A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
- T. Hytonen
- Mathematics
- 17 September 2009
A new class of metric measure spaces is introduced and studied. This class generalises the well-established doubling metric measure spaces as well as the spaces (R, μ) with μ(B(x, r)) ≤ Cr, in which…
Systems of dyadic cubes in a doubling metric space
- T. Hytonen, Anna Kairema
- Mathematics, Computer Science
- 9 December 2010
A new (non-random) construction of boundedly many adjacent dyadic systems with useful covering properties, and a streamlined version of the random construction recently devised by H. Martikainen and the first author are included.
Orthonormal bases of regular wavelets in spaces of homogeneous type
- P. Auscher, T. Hytonen
- Mathematics
- 26 October 2011
Representation of singular integrals by dyadic operators, and the A_2 theorem
- T. Hytonen
- Mathematics
- 25 August 2011
Kato's square root problem in Banach spaces
- T. Hytonen, A. Mcintosh, Pierre Portal
- Mathematics
- 1 March 2007
The A_2 theorem: Remarks and complements
- T. Hytonen
- Mathematics
- 16 December 2012
Abstract. I give a mini-survey of several approaches to the A2 theorem, biased towards the “corona” rather than the “Bellman” side of the coin. There are two new results (a streamlined form of…
The local Tb theorem with rough test functions
- T. Hytonen, F. Nazarov
- Mathematics
- 5 June 2012
Non-homogeneous T1 theorem for bi-parameter singular integrals
- T. Hytonen, Henri Martikainen
- Mathematics
- 20 September 2012
The Hardy space H1 on non-homogeneous metric spaces
- T. Hytonen, Dachun Yang, Dongyong Yang
- MathematicsMathematical Proceedings of the Cambridge…
- 23 August 2010
Abstract Let (, d, μ) be a metric measure space and satisfy the so-called upper doubling condition and the geometrical doubling condition. We introduce the atomic Hardy space H1(μ) and prove that its…
...
...