Geodesic
Some new light on a few classical results
Ciprian Demeter 1   ; Prabath Silva 2
1 Department of Mathematics Indiana University 831 East 3rd St. Bloomington, IN 47405, U.S.A.
2 Department of Mathematics California Institute of Technology Mathematics 253-37, Caltech Pasadena, CA 91125, U.S.A.
Colloquium Mathematicum, Tome 140 (2015) no. 1, pp. 129-147 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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).
DOI : 10.4064/cm140-1-11
Keywords: purpose paper describe unified approach proving vector valued inequalities without relying full strength weighted theory applications include fefferman stein rdoba fefferman inequalities vector valued carleson operator using approach produce proof boundedness classical bi parameter multiplier operators which does rely product theory arguments inspired vector valued restricted type interpolation bateman thiele

Ciprian Demeter  1   ; Prabath Silva  2

1 Department of Mathematics Indiana University 831 East 3rd St. Bloomington, IN 47405, U.S.A.
2 Department of Mathematics California Institute of Technology Mathematics 253-37, Caltech Pasadena, CA 91125, U.S.A. 
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Ciprian Demeter; Prabath Silva. Some new light on a few classical results. Colloquium Mathematicum, Tome 140 (2015) no. 1, pp. 129-147. doi: 10.4064/cm140-1-11

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