Hölder inequality for functions that are integrable with respect to bilinear maps

Authors

  • O. Blasco
  • J. M. Calabuig

DOI:

https://doi.org/10.7146/math.scand.a-15053

Abstract

Let (Ω,Σ,μ) be a finite measure space, 1p<, X be a Banach space X and B:X×YZ be a bounded bilinear map. We say that an X-valued function f is p-integrable with respect to B whenever supy=1ΩB(f(w),y)pdμ<. We get an analogue to Hölder's inequality in this setting.

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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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Articles