Traces of Besov, Triebel-Lizorkin and Sobolev Spaces on Metric Spaces

Eero Saksman, Tomás Soto

Type: Article

Publication Date: 2017-12-20

Citations: 17

DOI: https://doi.org/10.1515/agms-2017-0006

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Locations

Analysis and Geometry in Metric Spaces - View
arXiv (Cornell University) - View - PDF
DOAJ (DOAJ: Directory of Open Access Journals) - View

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+	Traces on General Sets in ${R}^n$ for Functions with no Differentiability Requirements	2021	Mikil Foss
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+	Almost sharp descriptions of traces of Sobolev $W_{p}^{1}(\mathbb{R}^{n})$-spaces to arbitrary compact subsets of $\mathbb{R}^{n}$. The case $p \in (1,n]$	2021	Alexander Tyulenev
+	Quantitative characterization of traces of Sobolev maps	2021	Katarzyna Mazowiecka Jean Van Schaftingen

Works Cited by This (26)

Action	Title	Year	Authors
+	Lectures on Analysis on Metric Spaces	2001	Juha Heinonen
+	New thoughts on Besov spaces	1976	Jaak Peetre
+	Function spaces on subsets of Rn	1984	Alf Jonsson Hans Wallin Jaak Peetre
+	A trace theorem for Besov functions in spaces of homogeneous type	2015	Miguel Andrés Marcos
+	Characterization of traces of smooth functions on Ahlfors regular sets	2013	Lizaveta Ihnatsyeva Antti V. Vähäkangas
+	Cohomologie ℓp espaces de Besov	2003	Marc Bourdon Hervé Pajot
+	Traces of Sobolev Functions on Fractal Type Sets and Characterization of Extension Domains	1997	Piotr Hajłasz Олли Мартио
+ PDF Chat	A characterization of Hajłasz–Sobolev and Triebel–Lizorkin spaces via grand Littlewood–Paley functions	2009	Pekka Koskela Dachun Yang Yuan Zhou
+	Interpolation properties of Besov spaces defined on metric spaces	2010	Амиран Гогатишвили Pekka Koskela Nageswari Shanmugalingam
+ PDF Chat	Pointwise characterizations of Hardy-Sobolev functions	2008	Pekka Koskela Eero Saksman