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.

Kategorie tematyczne

• 60G46: Martingales and classical analysis
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• 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