1 citations · 2 across the 5 of their papers we have counts for
7 papers
Quasi Grand Lebesgue Spaces
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We introduce a new class of quasi-Banach spaces as an extension of the classical Grand Lebesgue Spaces for small values of the parameter, and we investigate some its properties, in…
Bochner-Riesz operators in Grand Lebesgue spaces
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We provide the conditions for the boundedness of the Bochner-Riesz operator acting between two different Grand Lebesgue Spaces. Moreover we obtain a lower estimate for the constant…
Fundamental solution for Cauchy initial value problem for parabolic PDEs with discontinuous unbounded first-order coefficient at the origin. Extension of the classical parametrix method
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We prove the existence of a fundamental solution of the Cauchy initial boundary value problem on the whole space for a parabolic partial differential equation with discontinuous un…
Grand Lebesgue Spaces are really Banach algebras relative to the convolution on unimodular locally compact groups
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We prove that the Grand Lebesgue Space, builded on a unimodular locally compact topological group, forms a Banach algebra relative to the convolution.
Asymptotic and non-asymptotic estimates for multivariate Laplace integrals
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We derive bilateral asymptotic as well as non-asymptotic estimates for the multivariate Laplace integrals. Possible applications: Tauberian theorems for random vectors.
Criterion for the coincidence of strong and weak Orlicz spaces
Maria Rosaria Formica, Eugeny Ostrovsky
We provide necessary and sufficient conditions for the coincidence, up to equivalence of the norms, between strong and weak Orlicz spaces. Roughly speaking, this coincidence holds…