OAI/MathematicalPhysics/DefocusingNLS/Linear/HomogeneousCommutatorCompact.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

Compactness of the actual frequency-localized commutator

The row functionals and the integrable Schwartz majorant give strong L² convergence for every bounded weakly null sequence in the exact Y space.

  1. theorem OAI.DefocusingNLS.row_norm_le_of_bound line 20
  2. theorem OAI.DefocusingNLS.row_aestronglyMeasurable line 48
  3. theorem OAI.DefocusingNLS.tendsto_homogeneousCommutator_cutoff_L2 line 61