Triebel‐Lizorkin sequence spaces are genuine mixed‐norm spaces

DOI10.1002/MANA.201100184zbMath1284.46023OpenAlexW2134175676MaRDI QIDQ4921739

Marius Mitrea, Dorina Mitrea, D. Brigham, Irina Mitrea

Publication date: 13 May 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100184

zbMATH Keywords

interpolationtent spacesdualityfactorizationretractquasi-metric spacesarea functionsweighted mixed-norm spacesCarleson operatorsTriebel-Lizorkin sequence 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) Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (1)

𝐿^{𝑝}-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets

Cites Work

• Complex interpolation of \(H^ p\) spaces on product domains
• A discrete transform and decompositions of distribution spaces
• The spaces \(L^ p\), with mixed norm
• The complex convexity of quasi-normed linear spaces
• Theory of function spaces
• Theory of function spaces II
• Some new function spaces and their applications to harmonic analysis.
• Lipschitz functions on spaces of homogeneous type
• Fatorization of tent spaces and Hankel operators
• The Banach envelopes of Besov and Triebel-Lizorkin spaces and applications to partial differential equations
• Convexity conditions for non-locally convex lattices
• Stability results on interpolation scales of quasi-Banach spaces and applications

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