R. Kerman

collaborators

3 papers

math.AP2026

The Hardy averaging operator between Orlicz spaces and a new gauge functional characterizing a given Orlicz space

Amiran Gogatishvili, Ron Kerman, Susanna Spektor

We prove that the largest Orlicz space into which the Hardy averaging operator maps coincides with the largest rearrangement-invariant (r.i.) space mapping into that space; in othe…

math.CA2026

Characterization of the boundedness of the segment multiplier on rearrangement-invariant spaces

Miguel F. Barea-FernÃ¡ndez, Ron Kerman, Jan Lang +1

Given a rearrangement-invariant (r.i.) space X, we show that the segment multiplier, the truncated Hilbert transform, and the discrete Hilbert transform (on the associated discreti…

math.FA2026

Boundedness of Positive Integral Operators on Lorentz-Gamma Spaces

R. Kerman, S. Spektor

We characterize the boundedness of a positive integral operator $T_{K}$ , with kernel $K \in M_{+} (R^{2 n})$ , between Lorentz-Gamma spaces $I^_{p, I ¨ _{2}} (R^{n})$ and $I^_{q, I ¨ _{1}} (R^{n})$ , $1…