Some new light on a few classical results

• Autorzy: Ciprian Demeter , Prabath Silva
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to describe a unified approach to proving vector-valued inequalities without relying on the full strength of weighted theory. Our applications include the Fefferman-Stein and Córdoba-Fefferman inequalities, as well as the vector-valued Carleson operator. Using this approach we also produce a proof of the boundedness of the classical bi-parameter multiplier operators, which does not rely on product theory. Our arguments are inspired by the vector-valued restricted type interpolation used by Bateman and Thiele (2013).

Kategorie tematyczne

• 42B25: Maximal functions, Littlewood-Paley theory
• 42B20: Singular and oscillatory integrals (Calder\'on-Zygmund, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 140
• Numer: 1
• Strony: 129-147

Daty

wydano

2015

Twórcy

autor

Ciprian Demeter

• Department of Mathematics, Indiana University, 831 East 3rd St., Bloomington, IN 47405, U.S.A.

autor

Prabath Silva

• Department of Mathematics, California Institute of Technology, Mathematics 253-37, Caltech, Pasadena, CA 91125, U.S.A.

Identyfikatory

DOI

10.4064/cm140-1-11