Leibniz-type rules for bilinear and biparameter Fourier multiplier operators with applications
type: Item
instance of: scholarly article
title: Leibniz-type rules for bilinear and biparameter Fourier multiplier operators with applications
zbMATH Open document ID: 1471.42028
author: Jiexing Yang
author: Xinfeng Wu
author: Zongguang Liu
published in: Potential Analysis
publication date: 2021-08-24T00:00:00Z
Mathematics Subject Classification ID: 42B15
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 47G99
zbMATH DE Number: 7384512
zbMATH Keywords: bilinear and biparameter Fourier multiplier
zbMATH Keywords: smoothing properties
zbMATH Keywords: Leibniz-type rules
MaRDI profile type: Publication
Wikidata QID: Q123013764
full work available at URL: s11118-020-09853-5
OpenAlex ID: W3035915899
cites work: Multiple vector-valued inequalities via the helicoidal method
cites work: Quasi-Banach valued inequalities via the helicoidal method
cites work: On the Hormander classes of bilinear pseudodifferential operators II
cites work: On the Hörmander classes of bilinear pseudodifferential operators
cites work: Sobolev space estimates and symbolic calculus for bilinear pseudodifferential operators
cites work: Symbolic Calculus and the Transposes of Bilinear Pseudodifferential Operators
cites work: Bilinear Sobolev-Poincaré inequalities and Leibniz-type rules
cites work: Bilinear oscillatory integrals and boundedness for new bilinear multipliers
cites work: Weighted norm inequalities for multilinear operators and applications to multilinear Fourier multipliers
cites work: On an endpoint Kato-Ponce inequality.
cites work: Bilinear operators with homogeneous symbols, smooth molecules, and Kato-Ponce inequalities
cites work: Weighted fractional Leibniz-type rules for bilinear multiplier operators
cites work: Multilinear Weighted Norm Inequalities Under Integral Type Regularity Conditions
cites work: Sobolev-BMO and fractional integrals on super-critical ranges of Lebesgue spaces
cites work: Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness
cites work: Polynomial growth estimates for multilinear singular integral operators
cites work: Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
cites work: On Commutators of Singular Integrals and Bilinear Singular Integrals
cites work: Q4338833
cites work: Commutateurs d'intégrales singulières et opérateurs multilinéaires
cites work: Q3941791
cites work: Kato-Ponce inequalities on weighted and variable Lebesgue spaces.
cites work: Banach-valued multilinear singular integrals
cites work: Boundedness of singular integrals on multiparameter weighted Hardy spaces \(H^p_w(\mathbb R^n \times \mathbb R^m)\)
cites work: Some Maximal Inequalities
cites work: Weighted norm inequalities for multilinear Fourier multipliers
cites work: Higher order fractional Leibniz rule
cites work: Classical Fourier Analysis
cites work: A remark on an endpoint Kato-Ponce inequality.
cites work: On Multilinear Fourier Multipliers of Limited Smoothness
cites work: The Kato-Ponce Inequality
cites work: The Hörmander multiplier theorem for multilinear operators
cites work: Multilinear Calderón-Zygmund theory
cites work: Exact smoothing properties of Schrodinger semigroups
cites work: Smoothing properties of bilinear operators and Leibniz-type rules in Lebesgue and mixed Lebesgue spaces
cites work: A variant sharp estimate for multilinear singular integral operators
cites work: Commutator estimates and the euler and navier-stokes equations
cites work: On the local and global well-posedness theory for the KP-I equation
cites work: Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
cites work: Multilinear estimates and fractional integration
cites work: Bilinear pseudo-differential operators with symbols in \(BS^m_{1,1}\) on Triebel-Lizorkin spaces
cites work: On Kato-Ponce and fractional Leibniz
cites work: Weighted estimates for multilinear Fourier multipliers
cites work: Minimal smoothness conditions for bilinear Fourier multipliers
cites work: Bi-parameter paraproducts
cites work: Multi-parameter paraproducts
cites work: Classical and Multilinear Harmonic Analysis
cites work: On the bilinear Hörmander classes in the scales of Triebel-Lizorkin and Besov spaces
cites work: Coifman–Meyer multipliers: Leibniz-type rules and applications to scattering of solutions to PDEs
cites work: On \(L^1\) endpoint Kato-Ponce inequality
cites work: Q5475508
cites work: A Hörmander type multiplier theorem for multilinear operators
cites work: Continuity Properties of Pseudodifferential Operators of Type 1,1
cites work: Boundedness results for operators with singular kernels on distribution spaces
cites work: Leibniz's rule, sampling and wavelets on mixed Lebesgue spaces
DOI: 10.1007/S11118-020-09853-5
description: scientific article; zbMATH DE number 7384512