Geodesic
A~simplified proof of a~theorem of J.~Bourgain on extension of operators
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XVI, Tome 157 (1987), pp. 146-150

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The theorem in question states that every operator from a reflexive subspace of $L^1/H_0^1$ to $H^\infty$ extends to the whole of $L^1/H_0^1$. 
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     author = {S. V. Kislyakov},
     title = {A~simplified proof of a~theorem of {J.~Bourgain} on extension of operators},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     publisher = {mathdoc},
     volume = {157},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a13/}
}
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S. V. Kislyakov. A~simplified proof of a~theorem of J.~Bourgain on extension of operators. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XVI, Tome 157 (1987), pp. 146-150. http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a13/