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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…
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…
Moment and exponential estimation for the distribution of the norms for random matrices martingales
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We derive sharp non - asymptotical Lebesgue - Riesz as well as Grand Lebesgue Space norm estimations for different norms of matrix martingales through these norms for the correspon…
Homogeneous kernel integral operators in Grand Lebesgue Spaces
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
In this short report we estimate and calculate the exact value of norms of multilinear integral operators having homogeneous kernel, acting between two Grand Lebesgue Spaces.
Factorizable convergence of random variables in Grand Lebesgue Spaces
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We obtain results concerning the so-called factorization for the convergence of random variables almost everywhere (almost surely or with probability one), belonging to the classic…