From the 2 of 11 linked papers with an AI index.
11 papers
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…
Gabriel's and Frazer's problems for weighted Bergman spaces and their applications
Himadri Halder, Rohit Kumar
The paper proves weighted integral inequalities of Gabriel’s and Frazer’s type for analytic and complex‑valued harmonic functions in weighted Bergman spaces on the unit disk, and a…
Riesz Theorem and Riesz-Fejér inequality for weighted harmonic Bergman spaces with applications to Möbius invariant spaces
Himadri Halder, Rohit Kumar
The paper proves that for harmonic K‑quasiregular maps whose real part lies in a weighted harmonic Bergman space, the imaginary part also belongs to the same space, and establishes…
Positive solutions to semipositone problems on Heisenberg group
Vikram Naik, Rohit Kumar
This article focuses on establishing a positive weak solution to a class of semipositone problems over the Heisenberg group . In particular, we are interested in the…
Characterizations of compactness and weighted eigenvalue problem associated with fractional Hardy-type inequalities
Ujjal Das, Rohit Kumar, Abhishek Sarkar
In this article, we consider the following fractional {Hardy-type} inequality: \begin{align} \label{Fractional Hardy_abst} \int_{\mathbb{R}^N} |w(x)||u(x)|^p \mathrm{d}x \leq C \in…
On Landau-Type Theorems for Poly-Analytic Functions
Vasudevarao Allu, Rohit Kumar
In this paper, we establish three Landau-type theorems for certain bounded poly-analytic functions, which generalize the corresponding result for bi-analytic functions given by Liu…