S. Spektor

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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 $I^_{p, I ¨ _{2}} (R^{n})$ and $I^_{q, I ¨ _{1}} (R^{n})$ , $1…

math.FA2025

Increasingly global convergence of Hermite serie

VÃt Musil, S. Spektor

We study the convergence of the Hermite series of measurable functions on the real line. We characterize the norm convergence of truncated partial Hermite sums in rearrangement inv…