Boundedness of smooth bilinear square functions and applications to some bilinear pseudo-differential operators

DOI10.1512/iumj.2011.60.4527zbMath1242.47040arXiv1010.1320OpenAlexW2963691322MaRDI QIDQ2884649

Saurabh Shrivastava, Frédéric Bernicot

Publication date: 30 May 2012

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1320

zbMATH Keywords

pseudo-differential operatorsbilinear multipliersbilinear square functions

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Pseudodifferential operators (47G30) Forms (bilinear, sesquilinear, multilinear) (47A07) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (11)

Certain multi(sub)linear square functions ⋮ A class of bilinear multipliers given by Littlewood-Paley decomposition ⋮ A Bilinear Rubio de Francia Inequality for Arbitrary Rectangles ⋮ Quantitative weighted estimates for Rubio de Francia's Littlewood-Paley square function ⋮ A BILINEAR RUBIO DE FRANCIA INEQUALITY FOR ARBITRARY SQUARES ⋮ On a class of bilinear pseudodifferential operators ⋮ Norm variation of ergodic averages with respect to two commuting transformations ⋮ Multilinear square functions and multiple weights ⋮ On bilinear Littlewood-Paley square functions ⋮ Multilinear pseudodifferential operators beyond Calderón-Zygmund theory ⋮ A remark on bilinear Littlewood-Paley square functions

This page was built for publication: Boundedness of smooth bilinear square functions and applications to some bilinear pseudo-differential operators