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- W2890154717 abstract "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 a rearrangement invariant space X . Finally, we also prove some results establishing that the weak-type boundedness of ℱ, in certain weighted Lorentz spaces, is equivalent to the corresponding strong-type estimates." @default.
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- W2890154717 date "2018-06-08" @default.
- W2890154717 modified "2023-10-18" @default.
- W2890154717 title "Weak-Type Boundedness of the Fourier Transform on Rearrangement Invariant Function Spaces" @default.
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- W2890154717 doi "https://doi.org/10.1017/s0013091518000032" @default.
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