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9 papers
Length control for foliations by Jordan curves via smooth quasiconformal maps
Abhishek Pandey
Let be a non-empty simply connected domain and . Bouchala and Koskela [Proc. Amer. Math. Soc. (2024)] proved that there exists a quasiconformal map $f…
Characterizations for quasiconformal weighted Bergman spaces
Pekka Koskela, Chengxi Li, Abhishek Pandey
We establish characterizations of planar quasiconformal mappings in weighted Bergman spaces . For and , our characterization involves the convergence…
Quasihyperbolic domains are CAT(2)
Toni Ikonen, Abhishek Pandey
We prove that every proper subdomain of the Euclidean space equipped with its quasihyperbolic metric is CAT(2). The CAT property leads to a positive resolution of Väisälä's uniquen…
Conformal Warped Product Submersion
Harmandeep Kaur, Abhishek Pandey, Gauree Shanker
In this paper, the concept of Riemannian warped product submersion is generalized to the conformal case. We introduce the notion of conformal warped product submersion. It is a sub…
Visible quasihyperbolic geodesics
Vasudevarao Allu, Abhishek Pandey
In this paper, motivated by the work of Bonk, Heinonen, and Koskela (Asterisque, 2001), we consider the problem of the equivalence of the Gromov boundary and Euclidean boundary. Ou…
Proof of The Generalized Zalcman Conjecture for Initial Coefficients of Univalent Functions
Vasudevarao Allu, Abhishek Pandey
Let denote the class of analytic and univalent ({\it i.e.}, one-to-one) functions in the unit disk $\mathbb{D}=\{z\in \mathbb{C}:…
Support points of some classes of analytic and univalent functions
Vasudevarao Allu, Abhishek Pandey
Let denote the class of analytic functions in the unit disk satisfying and . Let be the class o…
On the generalized Zalcman conjecture
Vasudevarao Allu, Abhishek Pandey
Let denote the class of analytic and univalent ({\it i.e.}, one-to-one) functions in the unit disk $\mathbb{D}=\{z\in \mathbb{C}…
Zalcman Conjecture for certain analytic and univalent functions
Vasudevarao Allu, Abhishek Pandey
Let denote the class of analytic functions in the unit disk of the form and denote the class of functi…