Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Hardy–Littlewood maximal function | Statement: [G. H. Hardy, notableFor, Hardy–Littlewood maximal function]

Target entity: Hardy–Littlewood maximal function
Context triple: [G. H. Hardy, notableFor, Hardy–Littlewood maximal function]

• A. Hardy–Littlewood maximal function chosen
  The Hardy–Littlewood maximal function is a fundamental operator in real analysis and harmonic analysis that controls the local averages of a function and plays a key role in differentiation theorems and singular integral theory.
• B. Calderón–Zygmund theory
  Calderón–Zygmund theory is a branch of harmonic analysis that studies singular integral operators and their boundedness properties on function spaces such as L^p.
• C. Littlewood–Paley theory
  Littlewood–Paley theory is a collection of techniques in harmonic analysis that decompose functions into frequency-localized pieces to study their behavior in L^p spaces and related function spaces.
• D. Lebesgue differentiation theorem
  The Lebesgue differentiation theorem is a fundamental result in real analysis stating that, for an integrable function, the averages over shrinking neighborhoods converge almost everywhere to the function’s pointwise value.
• E. Singular Integrals and Differentiability Properties of Functions
  "Singular Integrals and Differentiability Properties of Functions" is a landmark mathematical monograph by Elias M. Stein that developed the modern theory of singular integral operators and their role in harmonic analysis and differentiability.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.