O. V. Besov, “Multiplicative Estimates for Derivatives on Irregular Domains”, Lobachevskii Journal of Mathematics, 2023, Volume 44, Pages 3250

Lobachevskii Journal of Mathematics

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Lobachevskii Journal of Mathematics, 2023, Volume 44, Pages 3250–3255
DOI: https://doi.org/10.1134/S1995080223080097 (Mi ljm242)

Multiplicative Estimates for Derivatives on Irregular Domains

O. V. Besov

Steklov Mathematical Institute of Russian Academy of Sciences, 119991, Moscow, Russia

DOI: https://doi.org/10.1134/S1995080223080097

Abstract: We establish multiplicative estimates for the $L_p$-norms of derivatives of functions on domains with Hölder boundaries.

Keywords: irregular domain; Sobolev spaces; multiplicative estimates for derivatives; Gagliardo–Nirenberg inequalities.

Received: 30.05.2023
Revised version: 22.06.2023

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Document Type: Article

Language: English

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