OAI/Analysis/LipschitzHilbert/Estimates/PublishedHilbertInput.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

The additional classical one-dimensional input needed only for the horizontal remainder. Grafakos, Classical Fourier Analysis, 3rd edition, GTM 249, Springer (2014), Theorem 5.1.12, printed p.323 (PDF p.338), DOI 10.1007/978-1-4939-1194-3. The maximal Hilbert bound gives this smaller consequence for differences of two inner truncations. The factor pi from the book's normalization is absorbed in C. Only p=3/2 and p=4 are used. This is an explicit proposition, not an axiom or an asserted proof.

  1. def OAI.LipschitzHilbert.oneDimensionalTruncatedHilbert line 16
  2. def OAI.LipschitzHilbert.HorizontalHilbertInput line 19