Some properties of Morrey type Besov–Triebel spaces

By L. Tang, Jingshi Xu. 2005

195 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/afd85c0e418bde56d5ac2fe522c5edf3c6f9ee04

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In Applied Mathematics

Citations in the corpus

Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type (2010, methodology): “One uses a vector-valued Fefferman–Stein type maximal inequality for the space Mu,p(lq,R d), where 1 < p ≤ u < ∞ and 1 < q ≤ ∞, see [52] and [9] for the case q = ∞.”
A new framework for generalized Besov-type and Triebel-Lizorkin-type spaces (2012, unknown): “Theorem (Dachun Yang and Wen Yuan) Assume that the parameters p, q 1 , q 2 , q, u, s 1 , s 2 satisfy There are another direction of generalization.”
Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces on domains (2010, background): “Xu investigated a different type of pseudo-differential operators as well [16].”
Generalized Morrey spaces and trace operator (2016, background): “Xu that defined Triebel-Lizorkin-Morrey spaces Es pqr(R) as well as they extended the parameters to the range 0 < q ≤ p ≤ ∞, 0 < r ≤ ∞ and s ∈ R [68].”
Decomposition of Hardy–Morrey spaces (2009, unknown): “We define Besov–Morrey spaces and Triebel–Lizorkin–Morrey spaces (p < ∞ for Triebel–Morrey spaces) as below [7,10,13] ‖ f ‖Ṅ s pqr = (∥∥2 ψ j(D) f ∥∥M p q )lr , ‖ f ‖Ė s pqr = ∥∥(2 ψ j(D) f )lr ∥∥M p q .”
Interpolation of Morrey-Campanato and related smoothness spaces (2014, methodology): “Using the Fourier multiplier theorem of Tang and Xu [79], it is not difficult to prove”
Besov‐Morrey spaces and Triebel‐Lizorkin‐Morrey spaces for nondoubling measures (2009, methodology): “For the Lebesgue measure dx, these function spaces were given in [5, 24].”
Relations among Besov-type spaces, Triebel–Lizorkin-type spaces and generalized Carleson measure spaces (2011, methodology): “We also recall the Triebel-Lizorkin-Morrey space Ės u,p,q(R n) and the Besov-Morrey space Ṅ s u,p,q(R n) introduced in [9, 7] as follows.”