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math.CA2026

Chromatic expansion with Bessel operator of fractional order

M. Chegaar, Á. P. Horváth

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, Á. P. Horváth

After proving the equivalence of the Bessel -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, Á. P. Horváth

We examine the fractional heat diffusion equations , where is the Laplace- or the Bessel-Laplace operator. We give conditions for…

math.CA2024

Trace inequality with Bessel convolution

Mouna Chegaar, Á. P. Horváth

Considering potentials defined by Bessel kernel with Bessel convolution a Kerman-Sawyer type characterization of trace inequality is given. As an application an estimate on the lea…