The inclusion relations between \(\alpha\)-modulation spaces and \(L^{p}\)-Sobolev spaces or local Hardy spaces

DOI10.1016/j.jfa.2016.12.002zbMath1368.46030OpenAlexW2561081307MaRDI QIDQ502601

Tomoya Kato

Publication date: 5 January 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2016.12.002

zbMATH Keywords

local Hardy spacesinclusion relations\(\alpha\)-modulation spaces\(L^p\)-Sobolev spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35)

Related Items

Boundedness of bi-parameter pseudo-differential operators on bi-parameter \(\alpha\)-modulation spaces, Structured, compactly supported Banach frame decompositions of decomposition spaces, Product \((\alpha_1, \alpha_2)\)-modulation spaces, Embeddings of Decomposition Spaces, Local smoothing estimates of fractional Schrödinger equations in \(\alpha\)-modulation spaces with some applications, Pseudodifferential operators with symbols in the Hörmander class \(S^0_{\alpha ,\alpha }\) on \(\alpha \)-modulation spaces, Time-decay and Strichartz estimates for the BBM equation on modulation spaces: existence of local and global solutions, Design and properties of wave packet smoothness spaces, Mixed-norm $\alpha $-modulation spaces, Sharp embedding relations between local Hardy and \(\alpha\)-modulation spaces

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