Abstract

The rearrangement-invariant, equimodular, and solid hulls and kernels of some function classes on R n are characterized. The definition of these classes takes into account the behavior of the Fourier transform. The paper contains a table illustrating what is known and what is unknown in the hull and kernel problem.KeywordsFunction ClassFourier CoefficientLorentz SpaceCompact Abelian GroupKernel ProblemThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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