naa a22 4500 510781454 CHVBK 20180411083248.0 cr unu---uuuuu 180411e20130401xx s 000 0 eng 10.1007/s11854-013-0006-1 doi (NATIONALLICENCE)springer-10.1007/s11854-013-0006-1 Boundedness of bilinear multipliers whose symbols have a narrow support [Elektronische Daten] [Frédéric Bernicot, Pierre Germain] This work is devoted to studying the boundedness on Lebesgue spaces of bilinear multipliers on ℝ whose symbol is narrowly supported around a curve (in the frequency plane). We are looking for the optimal decay rate (depending on the width of this support) for exponents satisfying a sub-Hölder scaling. As expected, the geometry of the curve plays an important role, which is described. This has applications to the bilinear Bochner-Riesz problem (in particular, boundedness of multipliers whose symbol is the characteristic function of a set), as well as to the bilinear restriction-extension problem. Hebrew University Magnes Press, 2013 Bernicot Frédéric Laboratoire Jean Leray, CNRS — Université de Nantes, 2, rue de la Houssinière, 44322, Nantes Cedex 3, France aut Germain Pierre Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, 10012-1185, New York, N.Y., USA aut Journal d'Analyse Mathématique The Hebrew University Magnes Press 119/1(2013-04-01), 165-212 0021-7670 119:1<165 2013 119 11854 https://doi.org/10.1007/s11854-013-0006-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11854-013-0006-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bernicot Frédéric Laboratoire Jean Leray, CNRS — Université de Nantes, 2, rue de la Houssinière, 44322, Nantes Cedex 3, France aut NATIONALLICENCE 700 1- Germain Pierre Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, 10012-1185, New York, N.Y., USA aut NATIONALLICENCE 773 0- Journal d'Analyse Mathématique The Hebrew University Magnes Press 119/1(2013-04-01), 165-212 0021-7670 119:1<165 2013 119 11854 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer