Sharpness of complex interpolation on \(\alpha \)-modulation spaces

DOI10.1007/s00041-015-9424-zzbMath1352.46022OpenAlexW1276740090MaRDI QIDQ276084

Guoping Zhao, Weichao Guo, Fan, Dashan, Huo Xiong Wu

Publication date: 26 April 2016

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

Full work available at URL: https://doi.org/10.1007/s00041-015-9424-z

zbMATH Keywords

Besov spacecomplex interpolation\(\alpha \)-modulation spacemodulation space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation between normed linear spaces (46B70) Harmonic analysis and PDEs (42B37)

Related Items (17)

Structured, compactly supported Banach frame decompositions of decomposition spaces ⋮ Product \((\alpha_1, \alpha_2)\)-modulation spaces ⋮ Full characterization of the embedding relations between \(\alpha\)-modulation spaces ⋮ Strongly singular integrals along curves on \(\alpha\)-modulation spaces ⋮ Embeddings of Decomposition Spaces ⋮ Sharp embedding between Wiener amalgam and some classical spaces ⋮ Boundedness of iterated spherical average on modulation spaces ⋮ Unimodular multipliers on \(\alpha\)-modulation spaces: a revisit with new method ⋮ FRACTIONAL INTEGRAL OPERATORS ON -MODULATION SPACES IN THE FULL RANGE ⋮ The inclusion relations between \(\alpha\)-modulation spaces and \(L^{p}\)-Sobolev spaces or local Hardy spaces ⋮ Characterization of inclusion relations between Wiener amalgam and some classical spaces ⋮ Oscillatory hyper-Hilbert transform along curves on modulation spaces ⋮ Design and properties of wave packet smoothness spaces ⋮ Mixed-norm $\alpha $-modulation spaces ⋮ Sharp embedding relations between local Hardy and \(\alpha\)-modulation spaces ⋮ Inclusion relations between \(\alpha \)-modulation spaces and Triebel-Lizorkin spaces ⋮ \(\alpha\)-modulation spaces for step two stratified Lie groups

Cites Work

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