Linked from

The 15 pages that link to Lebesgue differentiation theorem, each with the reason it gives.

• Lebesgue measureRelated: Its almost-everywhere conclusion is expressed using Lebesgue measure.

• Fundamental theorem of calculusCompared with: It extends recovery by differentiation beyond the continuous setting, with a weaker conclusion.

• Almost-everywhere convergenceRelated: Its conclusion gives pointwise recovery while allowing an exceptional null set.

• Henri LebesgueRelated: It links measure and integration to the local behavior of functions.

• Absolute continuityRelated: It helps recover an absolutely continuous function from its derivative almost everywhere.

• Fourier inversion theoremRelated: Local averaging underlies pointwise recovery when inversion uses summability limits.

• Hardy–Littlewood maximal functionRelated: Maximal estimates control the exceptional points where differentiation might fail.

• Integrable functionRelated: It gives pointwise information about integrable functions from shrinking neighborhood averages.

• Vitali covering theoremRelated: Disjoint-ball estimates control the exceptional points where differentiation fails.

• Lebesgue decomposition theoremCompared with: It studies local density recovery, rather than a global decomposition relative to a measure.

• Lebesgue density theoremRelated: Applying it to a set's indicator function yields the density conclusion.

• Besicovitch covering theoremRelated: Besicovitch selection controls the exceptional sets in a standard proof.

• Vitali covering lemmaRelated: Covering arguments control the exceptional sets in differentiation proofs.

• Rademacher's theoremRelated: Differentiation arguments use local averages to control behavior near almost every point.

• Steinhaus theoremRelated: Its density-point consequence supplies local concentration that can support difference-set arguments.