P. Athulya

collaborators

3 papers

math.FA2026

The dual of the Hardy space associated to the Dunkl-SchrÃ¶dinger operator with reverse HÃ¶lder class potential

P. Athulya, S. K. Verma

Let $L_{k} = - I^_{k} + V$ be a SchrÃ¶dinger operator associated with the Dunkl Laplacian $I^_{k}$ , where $V$ is the non-negative potential function belonging to the reverse HÃ¶…

math.AP2025

Caccioppoli-type inequalities for the Dunkl- $A$ -Laplacian and their application to nonexistence result

Athulya P, Sandeep Kumar Verma

For a suitable function $A : R^{n} \to R^{n}$ , we introduce the $A$ -Laplacian in the Dunkl framework as $I^_{k, A} (u) = div_{k} (A (\nabla_{k} u))$ , where $\nabla_{k}$ is th…

math.FA2025

Wavelet-based inversion and analysis of Flett, Riesz and bi-parametric potentials in $(k, 1)$ generalized Fourier framework

Athulya P, Umamaheswari S, Sandeep Kumar Verma

In this paper, we construct and analyze Bessel and Flett potentials associated with the heat and Poisson semigroups in the framework of the $(k, 1)$ -generalized Fourier transform. W…

The dual of the Hardy space associated to the Dunkl-SchrÃ¶dinger operator with reverse HÃ¶lder class potential

Caccioppoli-type inequalities for the Dunkl-A-Laplacian and their application to nonexistence result

Wavelet-based inversion and analysis of Flett, Riesz and bi-parametric potentials in (k,1) generalized Fourier framework

Caccioppoli-type inequalities for the Dunkl- $A$ -Laplacian and their application to nonexistence result

Wavelet-based inversion and analysis of Flett, Riesz and bi-parametric potentials in $(k, 1)$ generalized Fourier framework