Pointwise inequalities for Sobolev functions on generalized cuspidal domains
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
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Annales Fennici mathematiciAuthors
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2022Copyright
© 2022 Annales Fennici Mathematici
Olkoon Ω⊂Rn−1 rajoitettu tähtimäinen alue ja Ωψ ulkoneva kärkialue, jonka kanta-alue on Ω. Arvoilla 1< p≤ ∞ osoitamme, että W1,p(Ωψ) = M1,p(Ωψ) jos ja vain jos W1,p(Ω) = M1,p(Ω). 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).
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Finnish Mathematical SocietyISSN Search the Publication Forum
2737-0690Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/150879396
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Academy Project, AoFAdditional information about funding
The author has been supported by the Academy of Finland via Centre of Excellence in Analysisand Dynamics Research (Project #323960).License
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