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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
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…
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…
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…
Landau type theorem for -harmonic mappings
Vasudevarao Allu, Rohit Kumar
In this paper, we first obtain an estimate of the coefficients for -harmonic mappings. By applying these coefficient estimates, we prove the Landau type theorem for -harmonic…
The Landau-Bloch type theorems for certain class of holomorphic and pluriharmonic mappings in
Vasudeva Rao Allu, Rohit Kumar
In this paper, we first define two classes of holomorphic mappings defined on the unit ball of n-dimensional complex space and obtain the lower estimates for B…