Anisotropic Triebel-Lizorkin spaces with doubling measures

By Marcin Bownik. 2007

64 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/874577502807c43e40de503fc88690b396c2a49d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Dachun Yang
2. Wen Yuan
3. Long Huang
4. Jun Liu
5. Tino Ullrich
6. Morten Nielsen
7. Athanasios G. Georgiadis
8. Holger Rauhut

In Mathematical Physics

1. Dachun Yang
2. Wen Yuan
3. Jun Liu
4. Tino Ullrich
5. Long Huang
6. Holger Rauhut
7. Morten Nielsen
8. Marcin Bownik

Citations in the corpus

• Duality and interpolation of anisotropic Triebel–Lizorkin spaces (2008, background): “We prove that the expected isotropic results of Frazier and Jawerth [19] generalize to the non-isotropic setting.”
• Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type (2010, methodology): “Several authors [36, 34, 44, 64, 4] used their techniques in order to generalize results in certain directions.”
• Anisotropic Variable Hardy-Lorentz Spaces and Their Real Interpolation (2017, background): “The function spaces in the anisotropic setting have proved of wide generality (see, for example, [10, 11, 12]), which include the classical isotropic spaces and the parabolic spaces as special cases.”
• Atomic and Littlewood–Paley Characterizations of Anisotropic Mixed-Norm Hardy Spaces and Their Applications (2018, methodology): “For more progresses about the theory of anisotropic function spaces on R, we refer the reader to [11, 25, 45, 48, 49, 51, 53, 54, 55] for anisotropic Hardy-type spaces and to [7, 8, 9, 46, 47, 56] for anisotropic Besov and TriebelLizorkin spaces.”
• New Besov-type spaces and Triebel–Lizorkin-type spaces including Q spaces (2010, background): “To complete the proof, we need the following estimate (see, for example, (3.18) in [ 5 ]) that for any L > 0, there exists an M ∈ Z+ such that for all Q, P ∈ Q,”
• Wavelet transforms for homogeneous mixed-norm Triebel–Lizorkin spaces (2016, background): “For homogeneous Triebel–Lizorkin spaces on Rn we may refer the reader to works of Bownik and Ho and of Kyriazis and Petrushev [8, 26–28], and for anisotropic decompositions to papers of Borup and Nielsen and of Bownik and Ho [5, 6, 8].”
• Anisotropic Hardy-Lorentz spaces and their applications (2015, background): “For further developments of function spaces on the anisotropic Euclidean spaces, we refer the reader to [11, 12, 13, 24, 40, 41, 42, 71].”