Vector-Valued Singular Integrals Revisited-with Random Dyadic Cubes

• Autorzy: Hytönen, T. P.
• 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.

Słowa kluczowe

EN

Calderon Zygmund operator; martingale transform; random dyadic cubes; UMD space; operations on Haar basis

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2012
• Tom: Vol. 60, no 3
• Strony: 269--283
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Hytönen, T. P.

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

Bibliografia

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• [14] F. Nazarov, S. Treil, and A. Volberg, Cauchy integral and Calderon-Zygmund operators on nonhomogeneous spaces, Int. Math. Res. Notices 1997, 703-726.
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Identyfikatory

DOI

10.4064/ba60-3-7