Compactness of averaging operators on Banach function spaces

DOI10.1007/S43037-024-00383-5MaRDI QIDQ6646861

Katsuhisa Koshino

Publication date: 3 December 2024

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Lebesgue spaceBanach function spaceLorentz spacecompact operatoraveraging operatormetric measure 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) Compactness in Banach (or normed) spaces (46B50) Operators on Banach spaces (47B01)

Cites Work

• Harmonic functions on metric measure spaces: Convergence and compactness
• Embeddings of the fractional Sobolev spaces on metric-measure spaces
• Some new functional spaces
• On the theory of spaces \(\Lambda\)
• Boundedness of averaging operators on geometrically doubling metric spaces
• Metric in Measure Spaces
• Characterizing compact sets in \(\mathrm{L}^\mathrm{p}\)-spaces and its application
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