Function space topologies defined by sectional integrals and applications to an extremal problem

DOI10.1017/S0305004100056553zbMath0424.28002MaRDI QIDQ3858507

Kenneth J. Falconer

Publication date: 1980

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

extremal problemcompact convex subsetFubini's theoremfunction space topologiessectional integral

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) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Measures and integrals in product spaces (28A35)

Related Items (1)

Packing convex bodies by cylinders

Cites Work

• Differentiation of integrals in \(\mathbb{R}^n\)
• Spectral operators
• A Uniqueness Theorem and a Problem on Integration
• On the Determination of a Function in the Plane by Its Integrals Over Straight Lines
• Practical and mathematical aspects of the problem of reconstructing objects from radiographs
• A Solution of the "Plank Problem"

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