A Seeger-Sogge-Stein theorem for bilinear Fourier integral operators

DOI10.1016/j.aim.2014.07.009zbMath1296.35227arXiv1402.1729OpenAlexW2036173631MaRDI QIDQ400974

Wolfgang Staubach, Salvador Rodríguez-López, David J. Rule

Publication date: 26 August 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1729

zbMATH Keywords

bilinear Fourier integral operatorsfrequency space localisationSeeger-Sogge-Stein theorem

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Fourier integral operators applied to PDEs (35S30) Hardy spaces (30H10) BMO-spaces (30H35)

Related Items

\(L^p\)-regularity of rough bi-parameter Fourier integral operators, On the boundedness of certain bilinear oscillatory integral operators, Multilinear oscillatory integrals and estimates for coupled systems of dispersive PDEs, \(L^{p}\) boundedness of rough bi-parameter Fourier integral operators, Estimates for evolutionary partial differential equations in classical function spaces, Boundedness of Fourier integral operators on classical function spaces, Weighted \(L^{p}\) estimates for rough bi-parameter Fourier integral operators, \(L^p\) estimates for bi-parameter and bilinear Fourier integral operators, Some endpoint estimates for bilinear Coifman-Meyer multipliers, Local and global estimates for hyperbolic equations in Besov-Lipschitz and Triebel-Lizorkin spaces, Some endpoint estimates for bilinear paraproducts and applications, Global boundedness of a class of multilinear Fourier integral operators, Regularity of Fourier integral operators with amplitudes in general Hörmander classes, Weak and strong type estimates for the multilinear pseudo-differential operators, On the regularity of multilinear Schrödinger integral operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimates for rough Fourier integral and pseudodifferential operators and applications to the boundedness of multilinear operators
• Bilinear Fourier integral operators
• Regularity properties of Fourier integral operators
• A local version of real Hardy spaces
• Multilinear Calderón-Zygmund theory
• Analytic families of multilinear operators
• Fourier integral operators. I
• \(H^p\) spaces of several variables
• The Marcinkiewicz multiplier condition for bilinear operators
• Global and local regularity of Fourier integral operators on weighted and unweighted spaces
• BOUNDEDNESS OF FOURIER INTEGRAL OPERATORS ON HARDY SPACES
• Calderon-Vaillancourt--type theorem for bilinear operators
• Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals
• Some Maximal Inequalities