A1 Journal article (refereed)
Pointwise inequalities for Sobolev functions on generalized cuspidal domains (2022)
Sobolevin funktioiden pisteittäisiä epäyhtälöitä yleistetyissä kärkialueissa

Zhu, Z. (2022). Pointwise inequalities for Sobolev functions on generalized cuspidal domains. Annales Fennici mathematici, 47(2), 747-757. https://doi.org/10.54330/afm.117881

JYU authors or editors

Publication details

All authors or editors: Zhu, Zheng

Journal or series: Annales Fennici mathematici

ISSN: 2737-0690

eISSN: 2737-114X

Publication year: 2022

Publication date: 10/05/2022

Volume: 47

Issue number: 2

Pages range: 747-757

Publisher: Finnish Mathematical Society

Publication country: Finland

Publication language: English

DOI: https://doi.org/10.54330/afm.117881

Publication open access: Openly available

Publication channel open access: Open Access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/82719

Web address of parallel published publication (pre-print): https://arxiv.org/abs/2105.02643

Abstract

Let Ω⊂Rn−1 be a bounded star-shaped domain and Ωψ be an outward cuspidal domain with base domain Ω. We prove that for 1< p≤ ∞, W1,p(Ωψ) = M1,p(Ωψ) if and only if W1,p(Ω) = M1,p(Ω).

Keywords: functional analysis; inequalities (mathematics)

Free keywords: Sobolev functions; cuspidal domains; pointwise inequality

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Ministry reporting: Yes

Reporting Year: 2022

JUFO rating: 2