Óscar Blasco de la Cruz, José Manuel Calabuig Rodríguez
Let (Ω,Σ,μ) be a finite measure space, 1≤p<∞, X be a Banach space X and B:X×Y→Z be a bounded bilinear map. We say that an X-valued function f is p-integrable with respect to B whenever sup∥y∥=1∫Ω∥B(f(w),y)∥pdμ<∞. We get an analogue to Hölder's inequality in this setting.
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