The Domain Spaces of Quasilogarithmic Operators

DOI10.2307/2001478zbMath0717.46064OpenAlexW4255327439MaRDI QIDQ5748454

Mario Milman, Michael Cwikel, Björn D. Jawerth

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001478

zbMATH Keywords

logarithmic Sobolev inequalitiesextrapolation of operatorsadmissible operatorinterpolation couplequasilogarithmic operatorK and the J methods of interpolationL log L 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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Abstract interpolation of topological vector spaces (46M35)

Related Items (6)

Interpolation of weak type spaces ⋮ Higher order commutators in the real method of interpolation ⋮ Commutators and interpolation methods ⋮ Majorization revisited: comparison of norms in interpolation scales ⋮ Second Order Estimates in Interpolation Theory and Applications ⋮ A unified theory of commutator estimates for a class of interpolation methods

Cites Work

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• K-divisibility of the K-functional and Calderón couples
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• Commutator and other second order estimates in real interpolation theory
• Monotonicity properties of interpolation spaces. II
• Minimal and maximal methods of interpolation
• ON FUNCTIONS OF A POSITIVE OPERATOR
• Interpolation of Operators with Change of Measures
• Logarithmic Sobolev Inequalities
• A function parameter in connection with interpolation of Banach spaces.

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