Manuscript Em01-B@3 · Em01-B-v3.tex · section · 69189992

Complete-contraction estimate on characteristic tests

An actual estimate for the complete retained family › Complete-contraction estimate on characteristic tests · lines 1350–1362

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For the fixed array $A_{ret}$ representing $K_{ret}$ , (eq:moderate) is a nonconditional estimate

∣ F_{δ} (K_{ret}) (Φ) ∣ \leq C_{L, ret} δ^{- q - 13} ∥Φ ∥_{5} .

It establishes moderate growth of the actual retained family. Its power is deliberately coarse. Removing that loss or proving summable differences remains a substantive characteristic problem.

Displayed formulas in this passage

unlabeled · line 1354
$∣ F_{δ} (K_{ret}) (Φ) ∣ \leq C_{L, ret} δ^{- q - 13} ∥Φ ∥_{5} .$

Nearby in this section

theorem: Theorem: Polynomial smoothing growth of the complete contraction
corollary: Corollary: A two-parameter bound
section: Complete-contraction estimate on characteristic tests