Rohit Kumar

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20202026

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math.CV2024

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…

math.AP2024

Existence of Positive Solutions for Generalized Fractional Brézis-Nirenberg Problem

Rohit Kumar, Abhishek Sarkar

In this article, we study the fractional Brézis-Nirenberg type problem on whole domain $R^{N}$ associated with the fractional $p$ -Laplace operator. To be precise, we want to…

math.CV2024

Landau type theorem for $α$ -harmonic mappings

Vasudevarao Allu, Rohit Kumar

In this paper, we first obtain an estimate of the coefficients for $α$ -harmonic mappings. By applying these coefficient estimates, we prove the Landau type theorem for $α$ -harmonic…

math.AP2024

Higher order fractional weighted homogeneous spaces: characterization and finer embeddings

Nirjan Biswas, Rohit Kumar

In this article, for $N \geq 2, s \in (1, 2), p \in (1, \frac{N}{s}), σ = s - 1$ and $a \in [0, \frac{N - s p}{2})$ , we establish an isometric isomorphism between the higher order fraction…

On Landau-Type Theorems for Poly-Analytic Functions

Existence of Positive Solutions for Generalized Fractional Brézis-Nirenberg Problem

Landau type theorem for α-harmonic mappings

Higher order fractional weighted homogeneous spaces: characterization and finer embeddings

Landau type theorem for $α$ -harmonic mappings