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- W4300696595 abstract "We give a simple proof of Bourgain's disc algebra version of Grothendieck's theorem, i.e. that every operator on the disc algebra with values in $L_1$ or $L_2$ is 2-absolutely summing and hence extends to an operator defined on the whole of $C$. This implies Bourgain's result that $L_1/H^1$ is of cotype 2. We also prove more generally that $L_r/H^r$ is of cotype 2 for $0<r< 1$." @default.
- W4300696595 created "2022-10-04" @default.
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- W4300696595 date "1991-06-03" @default.
- W4300696595 modified "2023-09-30" @default.
- W4300696595 title "A simple proof of a theorem of Jean Bourgain" @default.
- W4300696595 doi "https://doi.org/10.48550/arxiv.math/9201228" @default.
- W4300696595 hasPublicationYear "1991" @default.
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