Some notes on endpoint estimates for pseudo-differential operators

DOI10.1007/s00009-022-02193-1zbMath1501.35472arXiv2201.10724OpenAlexW4306810381MaRDI QIDQ2094554

Jingwei Guo, Xiang Rong Zhu

Publication date: 28 October 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.10724

zbMATH Keywords

counterexamplesendpoint estimates\(H^1\)-\(L^1\) boundedness

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Harmonic analysis and PDEs (42B37)

Related Items (3)

\(H^1\)-\(L^1\) boundedness of pseudo-differential operators with forbidden amplitudes ⋮ \(L^{\infty}\)-BMO boundedness of some pseudo-differential operators ⋮ Fourier integral operators on \(L^p(\mathbb{R}^n)\) when \(2 < p \leq \infty\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimates for rough Fourier integral and pseudodifferential operators and applications to the boundedness of multilinear operators
• Estimates for the kernel and continuity properties of pseudo-differential operators
• Regularity properties of Fourier integral operators
• Pseudodifferential operators and nonlinear PDE
• Pseudodifferential operators with rough symbols
• Pseudo-differential operators with nonregular symbols
• Modern Fourier Analysis
• On The L²continuity of pseudo_differential operators
• On the Boundedness of Pseudo Differential Operators in the Class L m ρ, 1
• Pseudo‐differential operators
• Ψ-pseudodifferential operators and estimates for maximal oscillatory integrals
• An algebra of pseudo‐differential operators
• On the L² continuity of pseudo‐differential operators

This page was built for publication: Some notes on endpoint estimates for pseudo-differential operators