instSMulCommClassSubtypeAEEqFunMemAddSubgroupLp

English

For a fixed constant c, the Lp-indicator built with smul and the indicatorLp is stable under DomMulAct.

Русский

При константе c индикатор Lp устойчив относительно DomMulAct.

LaTeX

$$indicatorConstLp p hs hμs (c) smul_property$$

Lean4

instance [SMul N α] [SMulCommClass M N α] [SMulInvariantMeasure N α μ] [MeasurableSMul N α] :
    SMulCommClass Mᵈᵐᵃ Nᵈᵐᵃ (Lp E p μ) :=
  Subtype.val_injective.smulCommClass (fun _ _ ↦ rfl) fun _ _ ↦ rfl

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