Adimensional weighted Sobolev inequalities in PI spaces

David Tewodrose

doi:10.54330/AFM.113840

Adimensional weighted Sobolev inequalities in PI spaces

David Tewodrose

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Onderzoeksoutput: Article › peer review

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We provide a family of global weighted Sobolev inequalities and Hardy inequalities on PI spaces with possibly non-maximal volume growth. Our results apply notably to non-trivial Ahlfors regular spaces like Laakso spaces and Kleiner–Schioppa spaces.

Originele taal-2	English
Pagina's (van-tot)	351-379
Aantal pagina's	29
Tijdschrift	Annales Fennici Mathematici
Volume	47
Nummer van het tijdschrift	1
DOI's	https://doi.org/10.54330/AFM.113840
Status	Published - 2022

Bibliografische nota

Publisher Copyright:
© 2022 The Finnish Mathematical Society

Keywords

Discretization method
Doubling condition
Metric measure spaces
Poincaré inequality
Sobolev inequalities

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10.54330/AFM.113840

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Adimensional weighted Sobolev inequalities in PI spaces

Samenvatting

Bibliografische nota

Keywords

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