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Some new light on a few classical results

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Demeter C., Silva P.

Colloquium Mathematicum

2015

tom 140

nr 1

129-147

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).

Ograniczanie wyników

1 Colloquium Mathematicum

1 Demeter C.

1 Silva P.

1 2015

Wyniki wyszukiwania

Some new light on a few classical results