Inclusion relations between modulation and Triebel-Lizorkin spaces

DOI10.1090/proc/13614zbMath1383.46026arXiv1609.05278OpenAlexW2964041622MaRDI QIDQ5354477

Weichao Guo, Guoping Zhao, Huo Xiong Wu

Publication date: 4 September 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05278

zbMATH Keywords

Triebel-Lizorkin spacesmodulation spacesinclusion relation

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

Full characterization of the embedding relations between \(\alpha\)-modulation spaces, Highly oscillatory unimodular Fourier multipliers on modulation spaces, Sharp embedding between Wiener amalgam and some classical spaces, Hausdorff operators on modulation spaces \(M_{p, p}^s\), Hausdorff operators on modulation and Wiener amalgam spaces, Sharp embedding relations between local Hardy and \(\alpha\)-modulation spaces, Characterization of smooth symbol classes by Gabor matrix decay, Characterizations of some properties on weighted modulation and Wiener amalgam spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sharp estimates of unimodular multipliers on frequency decomposition spaces
• \(\alpha\)-modulation spaces. I. Scaling, embedding and algebraic properties
• The inclusion relation between Sobolev and modulation spaces
• Isometric decomposition operators, function spaces \(E_{p,q}^{\lambda}\) and applications to nonlinear evolution equations
• The global Cauchy problem for the NLS and NLKG with small rough data
• Unimodular Fourier multipliers for modulation spaces
• Modulation spaces on the Euclidean n-space
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• Foundations of time-frequency analysis
• Stability of nonlinear Schrödinger equations on modulation spaces
• The dilation property of modulation spaces and their inclusion relation with Besov spaces
• Sharpness of some properties of weighted modulation spaces
• Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations
• Changes of variables in modulation and Wiener amalgam spaces
• Embedding relations between local Hardy and modulation spaces
• Estimates for unimodular Fourier multipliers on modulation spaces
• Embeddings of some classical Banach spaces into modulation spaces
• Modulation Spaces and Nonlinear Evolution Equations