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math.FA2014★ 24 cited
Paley-Littlewood decomposition for sectorial operators and interpolation spaces
Christoph Kriegler, Lutz Weis
We prove Paley-Littlewood decompositions for the scales of fractional powers of -sectorial operators on a Banach space which correspond to Triebel-Lizorkin spaces and the sc…
math.FA2014
Spectral multiplier theorems and averaged R-boundedness
Christoph Kriegler, Lutz Weis
Let be a -sectorial operator with a bounded -calculus for some e.g. a Laplace type operator on where is a manif…