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Nikol’skii-type inequalities for entire functions of exponential type in Lorentz–Zygmund spaces

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Abstract

Nikol’skii-type inequalities for entire functions of exponential type on \({\mathbb{R}}^{n}\) 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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Acknowledgements

The author is very grateful to the reviewer for constructive criticism and very useful suggestions for improving the article

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  1. Fraunhofer IOSB (Institute of Optronics, System Technologies and Image Exploitation), Gutleuthausstr. 1, 76275, Ettlingen, Germany

    Leo R. Ya. Doktorski

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Doktorski, L.R.Y. Nikol’skii-type inequalities for entire functions of exponential type in Lorentz–Zygmund spaces. Bol. Soc. Mat. Mex. 29, 3 (2023). https://doi.org/10.1007/s40590-022-00473-0

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