Product \((\alpha_1, \alpha_2)\)-modulation spaces
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Publication:2158846
DOI10.1007/s11425-021-1923-7zbMath1493.42039OpenAlexW4211022102MaRDI QIDQ2158846
Galatia Cleanthous, Athanasios G. Georgiadis
Publication date: 26 July 2022
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-021-1923-7
dualembeddingshort time Fourier transformproduct spacetight framemixed smoothnessdiscrete decompositionproduct \((\alpha_1, \alpha_2)\)-modulation space
Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) Operations with distributions and generalized functions (46F10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)
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Approximation of kernel projection operators in shift-invariant subspaces of function spaces with mixed norms ⋮ Nonuniform sampling theorem for non-decaying signals in mixed-norm spaces \(L_{\overrightarrow{p},\frac{1}{\omega}}(\mathbb{R}^d)\) ⋮ \(L^{\vec{p}}-L^{\vec{q}}\) boundedness of multiparameter Forelli-Rudin type operators on the product of unit balls of \(\mathbb{C}^n\)
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