Weak-Type Boundedness of the Fourier Transform on Rearrangement Invariant Function Spaces
Weak-Type Boundedness of the Fourier Transform on Rearrangement Invariant Function Spaces
Abstract We study several questions about the weak-type boundedness of the Fourier transform ℱ on rearrangement invariant spaces. In particular, we characterize the action of ℱ as a bounded operator from the minimal Lorentz space Λ( X ) into the Marcinkiewicz maximal space M ( X ), both associated with …