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math.CV2026
Bloch and Landau Type Theorems for Harmonic Mappings with Inhomogeneous Analytic Dilatation
Vasudevarao Allu, Rohit Kumar
We study Bloch and Landau type theorems for a class of sense-preserving harmonic mappings in the unit disk satisfying the inhomogeneous analytic dil…
math.CV2026
Gabriel's and Frazer's problems for weighted Bergman spaces and their applications
Himadri Halder, Rohit Kumar
In this paper, we investigate Gabriel's and Frazer's problems for analytic and complex-valued harmonic weighted Bergman spaces. More precisely, we establish weighted integral inequ…
math.CV2026
Riesz Theorem and Riesz-Fejér inequality for weighted harmonic Bergman spaces with applications to Möbius invariant spaces
Himadri Halder, Rohit Kumar
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 is a harmonic -qu…