A characterization of Hajłasz–Sobolev and Triebel–Lizorkin spaces via grand Littlewood–Paley functions

Pekka Koskela, Dachun Yang, Yuan Zhou

Type: Article

Publication Date: 2009-11-20

Citations: 59

DOI: https://doi.org/10.1016/j.jfa.2009.11.004

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arXiv (Cornell University) - PDF
Journal of Functional Analysis - View

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Works Cited by This (40)

Action	Title	Year	Authors
+	New characterizations of Haj asz-Sobolev spaces on metric spaces	2003	Dochun YANG
+	Lectures on Analysis on Metric Spaces	2001	Juha Heinonen
+ PDF Chat	Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces	2005	Marcin Bownik Kwok‐Pun Ho
+	New thoughts on Besov spaces	1976	Jaak Peetre
+ PDF Chat	Differentiable Control Metrics and Scaled Bump Functions	2001	Alexander Nagel Elias M. Stein
+	Sobolev spaces on an arbitrary metric space	1996	Piotr Hajłasz
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+	Theory of function spaces	1983	Hans Triebel
+	Analysis and Geometry on Groups	1993	N. Th. Varopoulos Laurent Saloff‐Coste Thierry Coulhon
+	Theory of Function Spaces III	2006	Hans Triebel