Besov's Type Embedding Theorem for Bilateral Grand Lebesgue Spaces
E. Ostrovsky, L. Sirota
TL;DR
This paper establishes non-asymptotic norm estimates of Besov's type between functions in different Bilateral Grand Lebesgue spaces, providing examples to demonstrate the sharpness of these inequalities.
Contribution
It introduces new non-asymptotic inequalities for Besov's type norms in Bilateral Grand Lebesgue spaces, extending existing theoretical frameworks.
Findings
Derived sharp non-asymptotic norm estimates
Provided examples confirming the inequalities' sharpness
Extended Besov's embedding theorems to BGLS
Abstract
In this paper we obtain the non-asymptotic norm estimations of Besov's type between the norms of a functions in different Bilateral Grand Lebesgue spaces (BGLS). We also give some examples to show the sharpness of these inequalities.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Approximation and Integration · Holomorphic and Operator Theory