3 papers
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 remo…
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…