9 citations · 11 across the 3 of their papers we have counts for
3 papers
math.FA2019★ 2 cited
Existence of an extremal of Dunkl-type Sobolev inequality and of Stein-Weiss inequality for D-Riesz potential
Saswata Adhikari, V. P. Anoop, Sanjay Parui
In this paper, we prove the existence of an extremal for the Dunkl-type Sobolev inequality in case of . Also we prove the existence of an extremal of the Stein-Weiss inequalit…
math.FA2017
Left Translates of a Square Integrable Function on the Heisenberg group
R. Radha, Saswata Adhikari
The aim of this paper is to study some properties of left translates of a square integrable function on the Heisenberg group. First, a necessary and sufficient condition for the ex…
math.FA2017★ 9 cited
Shift-invariant Spaces with Countably Many Mutually Orthogonal Generators on the Heisenberg group
R. Radha, Saswata Adhikari
Let denote the shift-invariant space associated with a countable family of functions in with mutually orthogonal generators,…