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

Pekka Koskela; Dachun Yang; Yuan Zhou

doi:10.1016/j.jfa.2009.11.004

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

Pekka Koskela Dachun Yang Yuan Zhou

Year: 2009 Journal: Journal of Functional Analysis Vol: 258 (8)Pages: 2637-2661 Publisher: Elsevier BV

DOI: 10.1016/j.jfa.2009.11.004

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Keywords:

Mathematics Sobolev space Characterization (materials science) Equivalence (formal languages) Euclidean geometry Lp space Pure mathematics Class (philosophy) Interpolation space Birnbaum–Orlicz space Combinatorics Functional analysis Computer science Chemistry Banach space

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Advanced Harmonic Analysis Research

Physical Sciences → Mathematics → Applied Mathematics

Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Nonlinear Partial Differential Equations

Physical Sciences → Mathematics → Applied Mathematics

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

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