Quantitative Lebesgue Differentiation Theorem and Regularity Lemma

  • We developed some quantitative notions in hard analysis by refining the corresponding ones in soft analysis.
  • We applied hard analysis to prove the following theorems and lemmas detailedly.
    • Lebesgue approximation theorem for a set
    • Lebesgue approximation theorem for a function
    • Quantitative Lebesgue differentiation theorem
    • Lebesgue regularity lemma
    • Strong Lebesgue regularity lemma

Follow this website

You need to create an Owlstown account to follow this website.

Sign up

Already an Owlstown member?

Log in