Schauder decompositions and multiplier theorems

By Ppje Clément, B. Pagter, Fedor Sukochev, H. Witvliet. 2000

250 citations recorded by the source corpus.

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Citations in the corpus

Maximal $L^p$-regularity for stochastic evolution equations (2011, background): “in recent progress in the regularity theory of (deterministic) parabolic evolution equations (see Theorem 3.3 below). For more information on R-boundedness and its applications we refer the reader to [18, 22, 54]. In Theorems 3.5, 4.5, 5.2, and 5.6 it will be important to have conditions under which”
Lp-maximal regularity for second order Cauchy problems (2005, background): “nition of Banach spaces having property (α) see Pisier [30], but also Cl´ ement et al. [ 12 ].”
Periodic solutions of second order differential equations in Banach spaces (2006, methodology): “This in turn follows from Plancherel’s theorem and the fact that the Rademacher system {rj(t)} is an orthonormal family in L2(0, 1;C) (see Clément-de Pagter-SukochevWitvliet [13]).”
Littlewood-Paley-Stein theory for semigroups in UMD spaces (2007, background): “[4, 5, 13, 22]) suggests that the right side of (1.”
Maximal Regularity for Non-autonomous Equations with Measurable Dependence on Time (2014, background): “In this section we recall the definition of R-boundedness (see [15, 22, 62] for details).”
Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces (2005, methodology): “For results about operator-valued Fourier multipliers and R−boundedness (which we use in the next section), we refer to Amann [1], Bourgain [7], Clément-de Pagter-Sukochev-Witvliet [12], Weis [33, 34], Girardi-Weis [20], [21], Clément- Prüss [11] and Arendt-Bu [3].”