Author

I. Krishtal

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Preprint Sep 2026

Mesoscopic redundancy for dynamical frames generated by atomic singular model operators

Consider the compressed shift $T=P_{K_\theta}M_z|_{K_\theta}$ on $K_\theta=H^2\ominus\theta H^2$ associated with the atomic singular inner function $\theta(z)=\exp(-a(\zeta+z)/(\zeta-z))$, $a>0$ and $|\zeta|=1$. Let $k_0=P_{K_\theta}1$ and define real powers $T^s$ using a holomorphic logarithm near the singleton spectr...

I. Krishtal, Javad Mashreghi · 0 citations

Preprint Sep 2026

Finite-orbit obstructions for multipliers on the polydisk

We study the closed spans of finitely many joint orbits of holomorphic multipliers on the Hardy space $H^2(\mathbb D^d)$ of the polydisk. If fewer than $d$ symbols are used, every such span has infinite codimension. The symbols may be unbounded, provided that all orbit vectors belong to the Hardy space. We give two ele...

I. Krishtal, Javad Mashreghi, P. K. Vishwakarma · 0 citations

Preprint Sep 2026

Sobolev mixing constants and compactness in rational moduli space

We study uniformity of Sobolev mixing estimates for rational maps and uniformly quasiregular mappings. For rational maps of fixed degree, the optimal centered Sobolev trace constant $A_f$ is a continuous proper function on M\"obius moduli space. Uniform bounds on $A_f$ therefore characterize relative compactness in mod...

Alastair N. Fletcher, I. Krishtal · 0 citations