We prove the $T1$ theorem for singular integrals with general Calderon-Zygmund kernels in the non-homogeneous setting by modifying the dyadic representation theorem in a convenient manner. This presentation is based on a joint work with T. Hytonen.
Creator:
Grau de la Herran, Ana (University of Helsinki)
Created:
2015-05-29
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The Tb theorem, like its predecessor, the T1 Theorem, is a an L^2 boundedness criterion, originally established by McIntosh and Meyer, and by David, Journe and Semmes in the context of singular integrals, but later extended by Semmes to the setting of "square functions". The latter arise in many applications in complex functiontheory and in PDE,...
Created:
2012-06-02
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The Szemeredi regularity lemma is crucial in graph limit theory.It isa basic tool to study large dense graphs: e.g. how to consider similarity,approximation by small graphs, how local and global properties are related to each other. It provides important new bridge between graph theoryand other fields like analysis, probability, topology.Focusin...
Creator:
Sos, Vera T. (Hungarian Academy of Sciences (MTA))
Created:
2012-11-30
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Szemerédi's regularity lemma is one of the most powerful toolsin graph theory, with many applications in combinatorics, number theory,discrete geometry, and theoretical computer science. Roughly speaking, itsays that every large graph can be partitioned into a small number of partssuch that the bipartite subgraph between almost all pairs of part...
Creator:
Fox, Jacob (Massachusetts Institute of Technology)
Created:
2012-11-30
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
