Oscillating Operators in Bilateral Grand Lebesgue Spaces
E. Ostrovsky, L. Sirota
TL;DR
This paper derives non-asymptotic bounds for oscillating integral operators within Bilateral Grand Lebesgue Spaces, providing sharp inequalities supported by illustrative examples.
Contribution
It introduces new non-asymptotic estimates for oscillating operators in Bilateral Grand Lebesgue Spaces, enhancing understanding of their boundedness and behavior.
Findings
Established sharp inequalities for oscillating integral operators.
Provided examples demonstrating the optimality of the bounds.
Extended the theory of operators in Bilateral Grand Lebesgue Spaces.
Abstract
In this paper we obtain the non - asymptotic estimations for oscillating integral operators in the so - called Bilateral Grand Lebesgue Spaces. We also give examples to show the sharpness of these inequalities.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Differential Equations and Boundary Problems · Mathematical Approximation and Integration