Hulls and kernels of function classes

Archil Gulisashvili,
Ohio University

We characterize the rearrangement-invariant, equimodular, and solid hulls and kernels of some function classes on n-dimensional Euclidean space Rⁿ. These classes consist of functions for which the Fourier transform is a function, a measure, or belongs to the spaces L^p or L^p_loc.