Vector-Valued Singular Integrals Revisited-with Random Dyadic Cubes

• Autorzy: Tuomas P. Hytönen
• Języki publikacji: EN

Abstrakty

EN

The vector-valued T(1) theorem due to Figiel, and a certain square function estimate of Bourgain for translations of functions with a limited frequency spectrum, are two cornerstones of harmonic analysis in UMD spaces. In this paper, a simplified approach to these results is presented, exploiting Nazarov, Treil and Volberg's method of random dyadic cubes, which allows one to circumvent the most subtle parts of the original arguments.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2012
• Tom: 60
• Numer: 3
• Strony: 269-283

Daty

wydano

2012

Twórcy

autor

Tuomas P. Hytönen

• Department of Mathematics and Statistics, University of Helsinki, Gustaf Hällströmin katu 2b, FI-00014 Helsinki, Finland

Identyfikatory

DOI

10.4064/ba60-3-7