An interpolation theorem

DOI10.1007/BF02384369zbMath0599.46089MaRDI QIDQ1080135

Mario Milman, Yoram Sagher

Publication date: 1984

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

interpolation theorems of Marcinkiewicz typesmallest rearrangement invariant set containing BMO over a cubeweak \(L^ 1\)weak \(L^{\infty }\)

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) Abstract interpolation of topological vector spaces (46M35)

Related Items

Interpolation of weak type spaces ⋮ BMO: Oscillations, Self-Improvement, Gagliardo Coordinate Spaces, and Reverse Hardy Inequalities ⋮ Interpolation of linear operators ⋮ The E-functional for some pairs of groups ⋮ A sharp version of commutator theorem for the real method of interpolation ⋮ The approximation functional and interpolation with perturbed continuity ⋮ Weak type classes ⋮ An interpolation theorem with perturbed continuity

Cites Work

• Weak-\(L^\infty\) and BMO
• Interpolation between weighted L\(^p\)-spaces
• Some remarks an interpolation of operators and Fourier coefficients
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