(p : Polynomial ℝ) : MemLp (fun x : ℝ => ((gaussPoly p x : ℝ) : ℂ)) 2 (volume : Measure ℝ)
ProvedBookProof.QgHermiteCore.memLp_gaussPolyhermitespecial-functionstimepiece
Lean 4 theorem BookProof.QgHermiteCore.memLp_gaussPoly (module BookProof.QgHermiteCore), source chapter BookProof/ChapterQgHermiteCore.lean.
Preamble
-- Generated from ChapterQgHermiteCore.lean — theorem BookProof.QgHermiteCore.memLp_gaussPoly
import Mathlib
import Definitions.Def_ChapterQgHermiteCore
open BookProof.QgHermiteCore
open MeasureTheory Polynomial Filter Topology
open BookProof.HermiteCore BookProof.Starobinsky
variable {E : Type*} [NormedAddCommGroup E]Formal statement
theorem BookProof.QgHermiteCore.memLp_gaussPoly (p : Polynomial ℝ) :
MemLp (fun x : ℝ => ((gaussPoly p x : ℝ) : ℂ)) 2 (volume : Measure ℝ) := by sorrySource