∀ {𝕜 : Type u𝕜} {G : Type uG} {E : Type uE} {E' : Type uE'} {F : Type uF} {P : Type uP} [inst : NormedAddCommGroup E]
  [inst_1 : NormedAddCommGroup E'] [inst_2 : NormedAddCommGroup F] {f : G → E} [inst_3 : NontriviallyNormedField 𝕜]
  [inst_4 : NormedSpace 𝕜 E] [inst_5 : NormedSpace 𝕜 E'] [inst_6 : NormedSpace 𝕜 F] (L : E →L[𝕜] E' →L[𝕜] F)
  [inst_7 : MeasurableSpace G] {μ : MeasureTheory.Measure G} [inst_8 : NormedSpace ℝ F] [inst_9 : AddGroup G]
  [inst_10 : TopologicalSpace G] [IsTopologicalAddGroup G] [BorelSpace G] [inst_13 : TopologicalSpace P]
  {g : P → G → E'} {s : Set P} {k : Set G},
  IsCompact k →
    (∀ (p : P) (x : G), p ∈ s → x ∉ k → g p x = 0) →
      MeasureTheory.LocallyIntegrable f μ →
        ContinuousOn (↿g) (s ×ˢ Set.univ) →
          ContinuousOn (fun q => MeasureTheory.convolution f (g q.1) L μ q.2) (s ×ˢ Set.univ)