Nikolskii Type Inequalities for Entire Functions of Exponential Type in Lorentz Zygmund Spaces
Leo R. Ya. Doktorski
TL;DR
This paper establishes Nikolskii type inequalities for entire functions of exponential type within Lorentz Zygmund spaces, explores new limiting cases, and applies findings to Besov spaces with logarithmic smoothness.
Contribution
It introduces new Nikolskii inequalities for exponential type functions in Lorentz Zygmund spaces and connects these results to Besov spaces with logarithmic smoothness.
Findings
Derived new inequalities for entire functions in Lorentz Zygmund spaces
Analyzed limiting cases of these inequalities
Applied results to Besov spaces with logarithmic smoothness
Abstract
Nikolskii type inequalities for entire functions of exponential type on Rn for the Lorentz Zygmund spaces are obtained. Some new limiting cases are examined. Application to Besov type spaces of logarithmic smoothness is given.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Differential Equations and Boundary Problems · Advanced Mathematical Physics Problems