3 papers
math.FA2026
Estimates for tail functions under Riesz transforms in Grand Lebesgue Spaces
Maria Rosaria Formica, Eugene Ostrovsky, Leonid Sirota
We study the tail behaviour of measurable functions under generalized Riesz-type operators in the framework of Grand Lebesgue Spaces. By exploiting the connection between the growt…
math.AP2024
Applications of Interpolation theory to the regularity of some equasilinear PDEs
Irshaad Ahmed, Alberto Fiorenza, Maria Rosaria Formica +2
We present some regularity results on the gradient of the weak or entropic-renormalized solution to the homogeneous Dirichlet problem for the quasilinear equations of the form…
math.ST2024
Confidence regions for the multidimensional density in the uniform norm based on the recursive Wolverton-Wagner estimation
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We construct an optimal exponential tail decreasing confidence region for an unknown density of distribution in the Lebesgue-Riesz as well as in the uniform} norm, built on the sam…