Function Spaces and Wavelets on Domains

By Hans Triebel. 2008

272 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Computer Vision and Pattern Recognition

View Paper: https://www.semanticscholar.org/paper/795dd5f9297303127c0a45a30f42fc63887bd0db

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In Computational Mechanics

In Computational Theory and Mathematics

In Computer Vision and Pattern Recognition

Citations in the corpus

Spline interpolation on sparse grids (2011, background): “For the following proposition we refer to [28], [29] and [30].”
Interpolation of Morrey-Campanato and related smoothness spaces (2014, methodology): “One may use Triebel’s arguments in the proof of [80, Theorem 1.2.4], since the closed graph theorem remains true in the context of quasi-Banach spaces, the details being omitted.”
Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type (2010, background): “For their definition, basic properties, and results on atomic decompositions we mainly refer to Triebel’s monographs [53, 55, 56, 57].”
Atomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces (2010, background): “This idea goes back to [20], [11] and [7].”
Continuous Characterizations of Besov-Lizorkin-Triebel Spaces and New Interpretations as Coorbits (2010, result): “This paper deals with Besov-Lizorkin-Triebel spaces Ḃsp,q(R d) and Ḟ sp,q(R d) on the Euclidean space Rd and their interpretation as coorbits.”
Multilinear analysis on metric spaces (2014, unknown): “Paraproducts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108 8.2.”
Local means, wavelet bases and wavelet isomorphisms in Besov‐Morrey and Triebel‐Lizorkin‐Morrey spaces (2013, methodology): “This is the main idea getting wavelet bases in the classical Besov and Triebel-Lizorkin spaces as can be seen in the extensive work of Triebel [55]– [58].”
Tractability of Multivariate Problems (2008, background): “Research on discrepancy is very intensive, and the reader is referred to the books by Beck and Chen [9], Beck and Sós [11], Chazelle [23], Drmota and Tichy [62], Matoušek [185], Niederreiter [202], Sloan and Joe [273], Strauch and Porubský [290] Tezuka [301], and Triebel [312].”