const — Mathlib

English

The function indicatorConstLp is linear in the constant parameter c; i.e., indicatorConstLp(p, hs, hμs, c) is proportional to c.

Русский

indicatorConstLp линейна по константе c; функция пропорциональна c.

LaTeX

$$$indicatorConstLp(p, hs, hμs, a c) = a \cdot indicatorConstLp(p, hs, hμs, c)$ for scalar a.$$

Lean4

/-- Constant function as an element of `MeasureTheory.Lp` for a finite measure. -/
protected def const : E →+ Lp E p μ
    where
  toFun c := ⟨AEEqFun.const α c, const_mem_Lp α μ c⟩
  map_zero' := rfl
  map_add' _ _ := rfl

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