Bases in Function Spaces, Sampling, Discrepancy, Numerical Integration

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Spline interpolation on sparse grids (2011, background): “(ii) In his recent book [48] Triebel proved the validity of D̄r(p, q) in case 1 ≤ p, q <∞ and 1/p < r < 2n− 1 + 1/p, but restricted to d = 2.”
Digital Nets and Sequences: Discrepancy Theory and Quasi-Monte Carlo Integration (2010, background): “Further information concerning the relationship between integration and discrepancy can be found in the books of Novak & Woźniakowski [198, 200] and of Triebel [256].”
Rough Bilinear Singular Integrals (2015, background): “due to Daubechies [10] and can also be found in Meyer’s book [22]. For our purposes we need product type smoothwavelets with compact supports; the construction of such objects can be found in Triebel [29]. Lemma 6. For any k ∈ N there are real compactly supported functions ψF,ψM ∈Ck(R)such that, if ”
Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type (2010, background): “Then we define by PwB,q,a(X) := {F : X → C : ‖F |PwB,q,a‖ ∞} , LwB,q,a(X) := {F : X → C : ‖F |LwB,q,a‖ ∞} two scales of function spaces on X, where the norms are given by (2.4) and (2.5).”