Theorems · Theorem · complex analysis

Complex.norm_circleTransformBoundingFunction_le

∀ {R r : ℝ},
  r < R →
    0 ≤ r →
      ∀ (z : ℂ),
        ∃ x,
          ∀ (y : ↑(Metric.closedBall z r ×ˢ Set.uIcc 0 (2 * Real.pi))),
            ‖Complex.circleTransformBoundingFunction R z ↑y‖ ≤ ‖Complex.circleTransformBoundingFunction R z ↑x‖

Defined in: Mathlib.MeasureTheory.Integral.CircleTransform
Cited by: 1 results in Mathlib
Foundations: Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound

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Cited by1

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Complex.circleTransformDeriv_boundproof · cited by 0