Nikolskii Type Inequalities for Entire Functions of Exponential Type in Lorentz Zygmund Spaces
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Publication:6378368
DOI10.1007/S40590-022-00473-0arXiv2109.11239WikidataQ115600564 ScholiaQ115600564MaRDI QIDQ6378368
Publication date: 23 September 2021
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.
Function spaces arising in harmonic analysis (42B35) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Fourier series and coefficients in several variables (42B05)
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