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Bounded <i>H</i><sub>∞</sub>‐calculus for pseudo‐differential Douglis–Nirenberg systems of mild regularity
Abstract We consider pseudo‐differential Douglis–Nirenberg systems on ℝ n with components belonging to the standard Hörmander class S 1, δ * (ℝ n × R n ), 0 ≤ δ < 1. Parameter‐ellipticity with respect to a subsector Λ ⊂ ℂ is introduced and shown to imply the existence of …