Endpoint estimates for bilinear pseudodifferential operators with symbol in \(BS_{1, 1}^m\)

DOI10.1016/j.jmaa.2022.126453OpenAlexW3208330111MaRDI QIDQ2154440

Sergi Arias, Salvador Rodríguez-López

Publication date: 19 July 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.11820

zbMATH Keywords

bilinear pseudodifferential operatorsKato-Ponce inequalitieslocal bmoTriebel-Lizorkin spaces of generalised smoothness

Mathematics Subject Classification ID

Pseudodifferential operators (47G30) Harmonic analysis and PDEs (42B37) Linear function spaces and their duals (46Exx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some endpoint estimates for bilinear paraproducts and applications
• On the bilinear Hörmander classes in the scales of Triebel-Lizorkin and Besov spaces
• A local version of real Hardy spaces
• Bilinear pseudo-differential operators with symbols in \(BS^m_{1,1}\) on Triebel-Lizorkin spaces
• Some endpoint estimates for bilinear Coifman-Meyer multipliers
• Fourier multipliers on a vector-valued function space
• Weighted fractional Leibniz-type rules for bilinear multiplier operators
• A remark on an endpoint Kato-Ponce inequality.
• Sobolev space estimates and symbolic calculus for bilinear pseudodifferential operators
• The Kato-Ponce Inequality
• Bilinear operators with homogeneous symbols, smooth molecules, and Kato-Ponce inequalities
• SOME ELEMENTARY INEQUALITIES, III
• Function spaces of generalised smoothness
• Local growth envelopes of spaces of generalized smoothness: the subcriticalcase
• Symbolic Calculus and the Transposes of Bilinear Pseudodifferential Operators
• Equivalence of (quasi-)norms on a vector-valued function space and its applications to multilinear operators
• Coifman–Meyer multipliers: Leibniz-type rules and applications to scattering of solutions to PDEs

This page was built for publication: Endpoint estimates for bilinear pseudodifferential operators with symbol in \(BS_{1, 1}^m\)