R. Kerman

activity

20212026

collaborators

5 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-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…

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 $f \in L_{1} (R^{n})$ , the Lebesgue-integrable functi…

math.FA2021

Orlicz-Lorentz Gauge Functional Inequalities for Positive Integral Operators. Revised Version

Susanna Spektor, Ron Kerman

Let $f \in M_{+} (R_{+})$ , the class of nonnegative, Lebesgure-measurable functions on $R_{+} = (0, \infty)$ . We deal with integral operators of the form \[ (T_Kf)(x)=\int_{\R_+}K(x,y)f(y…