Volterra Convolution Operators with Values in Rearrangement Invariant Spaces

DOI10.1112/S0024610799007759zbMath0949.47021MaRDI QIDQ4487477

Guillermo P. Curbera

Publication date: 22 June 2000

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

rearrangement invariant spaceinterpolation spaceconvolution operatorsVolterra operatorsspace of integrable functionsmonotone Riesz-Fischer normquadrature property

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) Linear operators on function spaces (general) (47B38) Interpolation between normed linear spaces (46B70) Vector-valued measures and integration (46G10) Abstract interpolation of topological vector spaces (46M35) Kernel operators (47B34)

Related Items (3)

OPTIMAL EXTENSIONS FOR POSITIVE ORDER CONTINUOUS OPERATORS ON BANACH FUNCTION SPACES ⋮ Function spaces arising from kernel operators ⋮ Vector measures: Where are their integrals?

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