Spaces of Lorentz type and complex interpolation

DOI10.1007/BF02384337zbMath0784.46025OpenAlexW1992418063MaRDI QIDQ1192102

Javier Soria, Eugenio Hernández

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf02384337

zbMATH Keywords

complex interpolationreiteration formulaspace of Lorentz type

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) Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35)

Cites Work

• A theory of complex interpolation for families of Banach spaces
• The Marcinkiewicz interpolation theorem extends to weighted spaces
• A function parameter in connection with interpolation of Banach spaces.
• Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
• Intermediate spaces and interpolation, the complex method
• Hardy's inequality with weights
• The Hilbert transform and rearrangement of functions
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