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math.CA2026
Characterization of the boundedness of the segment multiplier on rearrangement-invariant spaces
Miguel F. Barea-Fernández, Ron Kerman, Jan Lang +1
Given rearrangement-invariant (r.i.) spaces and , we show that the segment multiplier, the truncated Hilbert transform, and the discrete Hilbert transform (on the associated…
math.CA2023
The Fourier transform on Rearrangement-Invariant Spaces
Ron Kerman, Rama Rawat, Rajesh K. Singh
We study inequalities of the form \begin{equation*} ρ( \lvert \hat{f} \rvert) \leq C σ(f) < \infty, \end{equation*} with , the Lebesgue-integrable functi…