R. Kerman

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20212026

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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.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…