The \(L^{p,q}\)-stability of the shifts of finitely many functions in mixed Lebesgue spaces \(L^{p,q}(\mathbb R^{d+1})\)

DOI10.1007/s10114-018-7333-1zbMath1402.46022OpenAlexW2794068008MaRDI QIDQ1650591

Qing Yue Zhang, Bei Liu, Rui Li, Rui Liu

Publication date: 4 July 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-018-7333-1

zbMATH Keywords

mixed Lebesgue spaces\(L^{p,q}\)-stabilitysemi-convolution

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (9)

The closedness of shift invariant subspaces in \(L^{p,q}(\mathbb{R}^{d+1})\) ⋮ Average sampling and reconstruction in shift-invariant subspaces of mixed Lebesgue space L^p,q(ℝ^d+1) ⋮ Reconstruction and error analysis based on multiple sampling functionals over mixed Lebesgue spaces ⋮ Semi-Average Sampling for Shift-Invariant Signals in a Mixed Lebesgue Space ⋮ Random sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces \(L^{p,q}(\mathbb{R}\times\mathbb{R}^d)\) ⋮ Frame-based average sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces ⋮ The structure of finitely generated shift-invariant spaces in mixed Lebesgue spaces \(L^{p,q}\left( {\mathbb{R}}^{d+1}\right)\) ⋮ Random average sampling and reconstruction in shift-invariant subspaces of mixed Lebesgue spaces ⋮ A sampling theory for non-decaying signals in mixed Lebesgue spaces

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