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On an Interpolation Theorem of Zygmund and Koizumi
Published online by Cambridge University Press: 20 November 2018
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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.
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- Copyright © Canadian Mathematical Society 1970