On an Interpolation Theorem of Zygmund and Koizumi
Canadian mathematical bulletin, Tome 13 (1970) no. 2, pp. 221-226
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Let (X, , μ) and (Y, , ν) be two σ-finite measure spaces. An operator T, defined by h = Tf, which maps functions on X into functions on Y is called quasilinear if T(f+g) is uniquely defined whenever Tf and Tg are defined, and if 1.1 where is independent of f and g. If the operator T is called sublinear.
Heinig, H. P. On an Interpolation Theorem of Zygmund and Koizumi. Canadian mathematical bulletin, Tome 13 (1970) no. 2, pp. 221-226. doi: 10.4153/CMB-1970-045-3
@article{10_4153_CMB_1970_045_3,
author = {Heinig, H. P.},
title = {On an {Interpolation} {Theorem} of {Zygmund} and {Koizumi}},
journal = {Canadian mathematical bulletin},
pages = {221--226},
year = {1970},
volume = {13},
number = {2},
doi = {10.4153/CMB-1970-045-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-045-3/}
}
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