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math.FA2009★ 22 cited
Riesz's and Bessel's Operators in Bilateral Grand Lebesgue Spaces
E. Ostrovsky, E. Rogover, L. Sirota
In this paper we obtain the non - asymptotic estimations for Riesz's and Bessel's potential integral operators in the so - called Bilateral Grand Lebesgue Spaces. We also give exam…
math.AP2009★ 2 cited
Strichartz type Inequalities for Parabolic and Schrödinger Equations in rearrangement invariant Spaces
E. Ostrovsky, E. Rogover
In this paper we generalize the classical Strichartz estimation for solutions of initial problem for linear parabolic and Schrödinger PDE on many popular classes {\it pairs} of rea…