'A. P. Horv'ath

collaborators

3 papers

math.CA2026

Chromatic expansion with Bessel operator of fractional order

M. Chegaar, Ã. P. HorvÃ¡th

This paper develops a Bessel-chromatic expansion framework associated with fractional powers of the Bessel-Laplace operator. The construction combines methods of weighted polynomia…

math.CA2025

Fractional Bessel-Sobolev and Bessel B-potential spaces

Mouna Chegaar, Ã. P. HorvÃ¡th

After proving the equivalence of the Bessel $K$ -functional and the corresponding spherical modulus of smoothness we define fractional Bessel-Sobolev spaces. As an analog of the cla…

math.CA2025

Removable Sets for Fractional Heat and Fractional Bessel-Heat Equations

Mouna Chegaar, Ã. P. HorvÃ¡th

We examine the fractional heat diffusion equations $L_{I^^{3}, a} := (- I^_{a})^{\frac{I ^}{³} 2} + \partial_{t}$ , where $I^_{a}$ is the Laplace- or the Bessel-Laplace operator. We give conditions for…