Schur-type Banach modules of integral kernels acting on mixed-norm Lebesgue spaces

DOI10.1016/j.jfa.2021.109197zbMath1494.47084arXiv2006.01083OpenAlexW3186949601MaRDI QIDQ1982527

Nicki Holighaus, Felix Voigtlaender

Publication date: 14 September 2021

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

Full work available at URL: https://arxiv.org/abs/2006.01083

zbMATH Keywords

discretizationcontinuous frameSchwartz kernelSchur's testcoorbit spacemixed-norm Lebesgue space

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) Integral operators (47G10) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (1)

Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups. I

Cites Work

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• Continuous characterizations of Besov-Lizorkin-Triebel spaces and new interpretations as coorbits
• Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type
• Banach spaces related to integrable group representations and their atomic decompositions. I
• Banach lattice sums with hereditary Fatou properties
• Banach spaces related to integrable group representations and their atomic decompositions. II
• The spaces \(L^ p\), with mixed norm
• Continuous frames, function spaces, and the discretization problem
• A Schur test for weighted mixed-norm spaces
• Theory of function spaces
• Describing functions: Atomic decompositions versus frames
• Lorentz spaces, with mixed norms
• Modulation spaces and pseudodifferential operators
• Foundations of time-frequency analysis
• General coorbit space theory for quasi-Banach spaces and inhomogeneous function spaces with variable smoothness and integrability
• New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets
• Continuous frames in Hilbert space
• Atomic characterizations of modulation spaces through Gabor-type representations
• Wavelet coorbit spaces viewed as decomposition spaces
• Atomic and molecular decompositions of anisotropic Besov spaces
• On spaces of potentials connected with \(L^ p\) classes
• Reproducing pairs and the continuous nonstationary Gabor transform on LCA groups
• Coorbit space theory for quasi-Banach spaces
• Measure Theory
• On Integral Transformations With Positive Kernel

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