Hölder inequality for functions that are integrable with respect to bilinear maps
DOI:
https://doi.org/10.7146/math.scand.a-15053Abstract
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.Downloads
Published
2008-03-01
How to Cite
Blasco, O., & Calabuig, J. M. (2008). Hölder inequality for functions that are integrable with respect to bilinear maps. MATHEMATICA SCANDINAVICA, 102(1), 101–110. https://doi.org/10.7146/math.scand.a-15053
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