Author

Rohit Kumar

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Preprint Aug 2026

Bloch and Landau Type Theorems for Harmonic Mappings with Inhomogeneous Analytic Dilatation

We study Bloch and Landau type theorems for a class of sense-preserving harmonic mappings $f=h+\overline{g}$ in the unit disk $\mathbb{D}$ satisfying the inhomogeneous analytic dilatation equation $$ g'(z)=\omega(z)h'(z)+\psi(z),$$ where $\omega$ and $\psi$ are analytic functions in $\mathbb{D}$ with $\|\omega\|_{\inft...

V. Allu, Rohit Kumar · 0 citations

Preprint Jul 2026

Riesz Theorem and Riesz-Fej\'er inequality for weighted harmonic Bergman spaces with applications to M\"obius invariant spaces

The aim of this paper is twofold. First, we establish a Riesz conjugate theorem for weighted harmonic Bergman spaces. More precisely, we prove that if $f=u+iv$ is a harmonic $K$-quasiregular mapping in $\mathbb{D}$ and the real part $u$ belongs to the weighted harmonic Bergman space $a_\alpha^p$, $0<p<\infty$, then the...

H. Halder, Rohit Kumar · 1 citation · ⚡1