`BookProof.ChapterLinftyMaximalAbelian.memLp_top_symbol` {T : Lp ℂ 2 μ →L[ℂ] Lp ℂ 2 μ} (hT : CommutesWithMultOps T) : MemLp (symbol T) ⊤ μ

Proved

BookProof.ChapterLinftyMaximalAbelian.memLp_top_symbol

by leonardopedro · Oct 7, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterLinftyMaximalAbelian.

BookProof.ChapterLinftyMaximalAbelian.memLp_top_symbol {T : Lp ℂ 2 μ →L[ℂ] Lp ℂ 2 μ} (hT : CommutesWithMultOps T) : MemLp (symbol T) ⊤ μ

Formalization note: Lean 4 identifier BookProof.ChapterLinftyMaximalAbelian.memLp_top_symbol.

Preamble

-- Generated from ChapterLinftyMaximalAbelian.lean — theorem BookProof.ChapterLinftyMaximalAbelian.memLp_top_symbol
import Definitions.Def_ChapterLinftyMultiplication
import Mathlib
import Definitions.Def_ChapterLinftyMaximalAbelian
open BookProof.ChapterLinftyMaximalAbelian


noncomputable section

open MeasureTheory ENNReal Complex


open BookProof.ChapterLinftyMultiplication

variable {α : Type*} [MeasurableSpace α] {μ : Measure α} [IsFiniteMeasure μ]

Formal statement

theorem BookProof.ChapterLinftyMaximalAbelian.memLp_top_symbol {T : Lp ℂ 2 μ →L[ℂ] Lp ℂ 2 μ} (hT : CommutesWithMultOps T) :
    MemLp (symbol T) ⊤ μ := by sorry

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