Source-pinned research

Research proof index

Search theorem names, mathematical ideas, modules, topics, projects, and role-labelled researchers. Open a result for its complete indexed Lean declaration and source record.

This index contains 1 research declarations. Search 10,000 more complete Mathlib declarations.

1 topic
Project-declaredLean 4.32.0

E Lp Norm cz Operator restrict two three of support subset

eLpNorm_czOperator_restrict_two_three_of_support_subset

Plain-language statement

The operator czOperator K r is bounded from L^2 ([1, 4]) to L^2 ([2, 3]), uniformly in r. This follows from the fact, proved in norm_czOperator_le_add, that it is bounded by the sum of two operators which are both bounded: one is the convolution with dirichletApprox, bounded as it is an average of Fourier projections, and the other one has a k...

harmonic analysisFourier analysismeasure theory

Source project: Carleson formalization

Person-level attribution pending.

View proof record