R. Kerman

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20212026

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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-Fernández, Ron Kerman, Jan Lang +1

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

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 $Γ_{p, ϕ_{2}} (R^{n})$ and $Γ_{q, ϕ_{1}} (R^{n})$ , $1<p\l…