Anisotropic Lizorkin-Triebel spaces with mixed norms -- traces on smooth boundaries

Jon Johnsen, Sabrina Munch Hansen, Winfried Sickel

Research output: Book/ReportReportResearch

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Abstract

This article deals with trace operators on anisotropic Lizorkin-Triebel spaces with mixed norms over cylindrical domains, where the boundary is sufficiently smooth. As a preparation we include a rather self-contained exposition of Lizorkin-Triebel spaces on manifolds and extend these results to mixed-norm Lizorkin-Triebel spaces on cylinders in Euclidean space.
Original languageEnglish
PublisherDepartment of Mathematical Sciences, Aalborg University
Number of pages35
Publication statusPublished - Aug 2013
SeriesResearch Report Series
NumberR-2013-07
ISSN1399-2503

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Triebel-Lizorkin Space
Trace
Norm
Euclidean space
Preparation
Operator

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Johnsen, J., Hansen, S. M., & Sickel, W. (2013). Anisotropic Lizorkin-Triebel spaces with mixed norms -- traces on smooth boundaries. Department of Mathematical Sciences, Aalborg University. Research Report Series, No. R-2013-07
Johnsen, Jon ; Hansen, Sabrina Munch ; Sickel, Winfried. / Anisotropic Lizorkin-Triebel spaces with mixed norms -- traces on smooth boundaries. Department of Mathematical Sciences, Aalborg University, 2013. 35 p. (Research Report Series; No. R-2013-07).
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Johnsen, J, Hansen, SM & Sickel, W 2013, Anisotropic Lizorkin-Triebel spaces with mixed norms -- traces on smooth boundaries. Research Report Series, no. R-2013-07, Department of Mathematical Sciences, Aalborg University.

Anisotropic Lizorkin-Triebel spaces with mixed norms -- traces on smooth boundaries. / Johnsen, Jon; Hansen, Sabrina Munch; Sickel, Winfried.

Department of Mathematical Sciences, Aalborg University, 2013. 35 p.

Research output: Book/ReportReportResearch

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Johnsen J, Hansen SM, Sickel W. Anisotropic Lizorkin-Triebel spaces with mixed norms -- traces on smooth boundaries. Department of Mathematical Sciences, Aalborg University, 2013. 35 p. (Research Report Series; No. R-2013-07).